A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements for each product are as follows:

Machining hours Polishing hours Assembling hours Unit profit $

Product 1 3 1 2 6

Product 2 2 1 1 4

Product 3 2 2 2 6

Product 4 4 3 1 8


Every week, the firm has available to it a total of 480 hours of machining time, 400 hours of polishing time, and 400 hours of assembling time.


The firm has a contract with a distributor to provide 50 units of Product 1, and 100 units of any combination of Products 2 and 3 every week.


Through other customers, the firm can sell any number of units of Products 1, 2, and 3. However, no more than 25 units of Product 4 can be sold in a week.


How many units of each product should the firm produce each week, so that it can meet its contractual obligations, and maximize its total profit?

Answers

Answer 1

Based on the information, it can be inferred that the number of units of each product that the company must produce each week in order to meet its contractual obligations and maximize its total utility is: Product 1 = 50 units, Product 2 = 0 units, Product 3 = 145 units, and Product 4 = 10 units.

How to calculate the units of each product that the company must produce weekly?

To calculate the units of each product that the company must produce weekly to meet its contractual obligations and maximize its total utility, we must carry out the following procedure:

First we need to set two values shown below:

[tex]x^{i}[/tex]= number of units to me produced of product i where i = {i = 1,2,3,4}

The objective is to maximize profit = Max [tex]6x^{1} +4x^{2}+ 6x^{3}+8x^{4}[/tex]

In accordance with the above, it can be established that the number of units per week would be calculated as follows, taking into account the hours that each of the machines can be used.

[tex]3x^{2} +2x^{2} +2x^{3} +4x^{4}[/tex] <= 480 (Machining hours)

[tex]x^{1} +x^{2} + 2x^{3} +3x^{4}[/tex] <= 400 (Polishing hours)

[tex]2x^{1} +x^{2} + 2x^{3} +x^{4}[/tex] <= 400 ( Assembly hours)

Finally, we obtain the following results that allow us to establish how many units of each element we need and what the profit maximization would be.

x1 >= 50 (Min demand of product 1)

x2+x3 >= 100 (Min demand of product 2 and 3)

x4 <= 25 (Max sell-product 4)

xi >= 0 (non-negativity constraint)

Product 1 = 50 units per week

Product 2 = 0 units per week

Product 3 = 145 units per week

Product 4 = 10 units per week

Total Profit = $1250 per week

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Related Questions

which of the following are among the eight basic or primary emotions? group of answer choices hope and excitement tired and occupied mute and talkative joy and fear

Answers

Two of the eight fundamental or primary emotions are joy and fear. The right response in this case is option D.

Primary emotions, which are immediate emotional responses to a situation, are so named because they occur first. Your very first response to a circumstance or incident alerts you to your needs.

In a color wheel, Robert Plutchik ordered the eight fundamental emotions he proposed: anger, fear, disgust, surprise, grief, anticipation, trust, and joy.

Thomas claims that our earliest responses to events or stimuli from the outside world are our core emotions. The responses we have to our responses are known as secondary emotions. Any one of a small number of emotions that are frequently expressed and understood in all cultures.

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A Form of democracy in which the people vote 1st hand

Answers

direct democracy, also called pure democracy, forms of direct participation of citizens in democratic decision making, in contrast to indirect or representative democracy.

Everything else held constant, in the market for reserves, when the federal funds rate is 3%, lowering the interest rate paid on excess reserves rate from 2% to 1%
A) lowers the federal funds rate.
B) raises the federal funds rate.
C) has no effect on the federal funds rate.
D) has an indeterminate effect on the federal funds rate

Answers

The Federal Reserve is confronted with mixed data showing that while price gains are slowing average hourly earnings are still rising in defiance of the central bank's numerous efforts to cool the economy.

the market appears to be more optimistic about the Fed's powers. Despite the Fed's consistent messaging that it intends to hike and hold rates , the futures market is pricing in rate cuts late in the year. International central banks, for their part, are slowing rate hikes, and international stock markets have reacted positively. So far this quarter, the MSCI Euro Index, which tracks the stock market performance of companies based in the eurozone, has delivered its best performance since the late 1990s. The stock market has risen in response to signs that central banks are slowing rate hikes. The MSCI Euro Index, which tracks the stock market performance of companies based in the eurozone, has had its best quarter to date performance since the eurozone was established in the late 1990s.

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all of the following children are eight years old. which of them is likely to have major symptoms of their disorder by late adolescence?

Answers

D. Dean, who has a fear of water is likely to have major symptoms of their disorder by late adolescent.

Aquaphobia

A fear of water is called aquaphobia. Aquaphobics experience intense terror at the sight or mere thought of water. They could be scared of drinking water, swimming pools, hot baths or showers, or vast bodies of water. Treatments for aquaphobia may involve exposure therapy, CBT, hypnotherapy, and medication.

Anyone who has aquaphobia may experience severe dread or anxiety whenever they think about or are around water. They could stay away from places with water, including lakes or swimming pools. In severe situations, people may cease taking showers, baths, or using the sink's water for face washing or tooth brushing.

Complete question:

all of the following children are eight years old. which of them is likely to have major symptoms of their disorder by late adolescence?

A. Jill, who has severe depression 

B. Dean, who has a fear of water 

C. Jack, who has attention-deficit/hyperactivity disorder 

D. Juan, who has an obsessive-compulsive disorder

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T/F alpr units affixed to police patrol cars automatically geocode each vehicle a specific location, thereby creating a massive searchable database of vehicle locations.

Answers

Police patrol cars equipped with ALPR devices automatically geocode each vehicle's precise location, building a sizable database of vehicle locations that may be searched. This assertion is true.

Automatic licence plate recognition (ALPR) cameras are a crucial piece of law enforcement equipment because they give officers the proof they need to look into crimes and make arrests. ALPRs are a crucial force multiplier for small to midsize agencies, recording hundreds of plates each minute as police concentrate on other activities.

ALPR enables the scanning of licence plates from all vehicles registered in a specific state. Then, using analytical software, the licence plate codes for each state must be used to categorise the number plates.

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You use spotlighting to help you identify the most important insights. Which of the following activities are involved with spotlighting? Select all that apply.
Multiple Choice Question:
A
Finding ideas or concepts that keep arising
B
Identifying connections or patterns
C
Determining the data’s partiality
D
Noticing repeated words or numbers

Answers

The activities that are involved with spotlighting are:

Identifying connections or patternsNoticing repeated words or numbers

What is meant by spotlighting in data?

Using the values of a measure, the spotlighting approach displays discrete thresholds. You could, for instance, wish to color-code sales such that those beyond 10,000 show up green and those below 10,000 show up red. A computation that yields a discrete measure and is specifically called a spotlighting calculation.

Spotlighting is simply a scanning approach that allows you to swiftly scan through data and filter them in order to quickly create a shortlist of concepts that prompt more thoughts, debate, and discussion around a data "hot-spot."

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PLEASE HELP 10 POINTS

Question 20 of 25


This thematic map shows the locations of different ethnic groups in the African country of Burkina Faso. Based on the map, the southeastern region of Burkina Faso is home to which ethnic group?

Answers

Based on the map, the southeastern region of Burkina Faso is home to this ethnic group: A. Gourma.

What are the types of map?

In Geography, there are different types of map and these include the following;

A topographic map.A political map.A thematic map.A physical map.A concept map.

Generally speaking, a thematic map simply refers to a type of map which can be used to provide information about the locations of different ethnic groups that are living in a geographical region such as a country.

By critically observing the given thematic map, we can reasonably infer and logically deduce that Gourma is an ethnic group that lives in the southeastern region (Fada Ngourma or 9) of Burkina Faso.

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Jimmy is a ten-year-old student with intellectual disabilities. According to IDEA, if he is placed in the least restrictive environment possible, he will receive instruction in

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Jimmy, a student in grade 10, has intellectual difficulties. In accordance with IDEA, if he is put in the least restrictive setting available, he will spend the whole day learning in a general education classroom.

A person is said to have an intellectual impairment when their capacity to learn at a typical rate and function in daily life is restricted. The severity of intellectual impairment in children varies widely.

Each person's level of difficulty with learning and processing information, difficulties with abstract cognition, and issues with social interaction are all common aspects of intellectual impairments.

There are several elements that affect intellectual functioning. However, mental aptitude, or "intelligence," is a major source of this talent. The capacity to reason, plan, ponder, and communicate is referred to as intelligence.

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What do you think Jeff Newman's goals were with creating the "First Contact" series?

Answers

Jeff Newman and Stephanie Scott are the producers of "First Contact." The show's goal is to investigate the information gap that exists between Indigenous people's lived experiences and the perceptions of certain Canadians.

Who are the world's indigenous peoples?

Indigenous or Aboriginal peoples are so-called because they lived on their lands before settlers from other places arrived; they are, according to one definition, the descendants of those who lived in a country or geographical region at the time when people of different cultures or ethnic origins arrived. The term "indigenous peoples" refers to the original peoples of North America and their descendants. The term "Aboriginal peoples" is also often used. The Canadian Constitution acknowledges three categories of Aboriginal peoples: Indians (also known as First Nations), Inuit, and Métis.

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governance is an umbrella term that includes the ultimate authority, accountability, and responsibility for an organization

Answers

It is true that when someone uses the word "governance," they are referring to an organization's overall supreme power, duty, and obligation.

What entails governance?

"The organization that controls and guides entities is referred to as government. It is concentrated on how accountability, control, and top-level behavior are organized and carried out within an entity.

What, in plain English, does "excellent governance" mean?

Together, institutions and processes produce outcomes that meet societal demands while making the most use of the resources at hand. In the framework of good government, efficiency also refers to the effective use of resources and environmental protection.

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Which of the following arguments drew large support for passing the twenty-sixth amendment, granting eighteen-year-olds the right to vote?

Answers

Eighteen-year-olds should also be able to vote because they were eligible for the draft.

How did people over the age of 18 gain the right to vote?

Our Pioneers incorporated that acknowledgment into its unique plan, giving a system to correct our Constitution as our Country developed. Our nation ratified the 26th Amendment to the Constitution on July 1, 1971, which lowered the voting age to 18.

Who granted a person aged 18 the right to vote?

Senator Ted Kennedy made a proposal in 1970 to lower the national voting age by making changes to the Voting Rights Act of 1965. The Voting Rights Act of 1965 was extended on June 22, 1970, when President Richard Nixon signed a law requiring 18-year-olds to vote in all federal, state, and local elections.

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Which of the following does not contribute to maintaining the dominant two-party system in the United States today?
Electronic Voting Systems

Answers

Systems for electronic voting Its trying to follow doesn't really support the current two-party system that dominates in the United States.

By the dominating party system, what do you mean?

Feb. 20, 2021) (About to replace this template message and how) A dominant-party system, sometimes known as a one-party system, is still a situation in politics when a particular political party consistently outperforms rival candidates in elections.

Which political party rule our system?

America has a multiple-party system today. The two biggest parties are the Democratic and Republican. Other parties that can support a party in a presidential election include the Reformed, Republican, Marxist, Normative Framework, Constitution, and Green Parties.

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put the five stages of the purchase decision process in the sequence in which they occur. (the first stage should be the top item in your list.)

Answers

The five-stage purchase decision process consists of need identification, information search, alternative assessment, buy choice, and post-purchase analysis.

What are the five stages of the purchase decision process in the sequence in which they occur?Need Recognition: This is the initial step in the decision-making process, where the consumer decides if they need or want a certain good or service. This is typically brought on by a discrepancy between the consumer's present situation and their ideal situation.Information Search: At this point, the consumer starts to look for details about the good or service that might be able to meet their needs or satisfy their desires. Online research, conversations with loved ones, and review reading are all examples of this.Evaluation of Alternatives: The consumer then begins to assess the possibilities and choose the one that is best for them after gathering information about potential goods or services.Purchase Decision: At this step, the customer decides whether or not to buy a specific good or service, as well as the method of purchase.Post-Purchase Evaluation: This is the last step in the decision-making process, where the buyer assesses their choice and decides whether they are happy with it.The five stages of the buy decision process include need identification, information search, alternative assessment, purchase choice, and post-purchase evaluation.This procedure enables customers to make well-informed selections about the goods and services they choose, assuring their satisfaction with their purchases.

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when in doubt or trying to understand the ethics of a situation and find the proper solution, it might be helpful to review which of the following questions:

Answers

The Situational Ethics might be helpful to review the questions, as below,

Is it legal?; How do I feel about this? Am I fearful?Does my conscience bother me?

Therefore, the option E holds true.

The situational ethics can be referred to or considered as the ethics that are related towards the formation of a behavior of an ideal way of conduct. It helps in finding solutions to the questions, which have been aforementioned. These kinds of ethics are the most helpful in deriving the most ideal solutions of different situations that arise.

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Complete question.

When in doubt or trying to understand the ethics of a situation and find the proper solution, it might be helpful to review which of the following questions:

Is it legal?

How do I feel about this? Am I fearful?

Does my conscience bother me?

All of the above

having a literate population of people will increase overall equality by using their . group of answer choices political voice public understanding social status dominate forces

Answers

Having a literate population of people will increase overall equality by using their political voice.

What is the importance of a literate population?

People that are literate are able to escape poverty. Being illiterate in reading and writing is a major disadvantage. A person's life is enriched by literacy, and it also gives them the chance to learn skills that will enable them to support themselves and their families. However, literacy has a significant impact on pupils' development as socially conscious citizens above and beyond the functional level.

Being able to read and write allows one to stay informed about current affairs, communicate effectively, and comprehend the problems affecting our world. Sharing knowledge and interacting with people are made possible through literacy. For one to develop personally and actively participate in society as a contributing member, literacy is a necessary skill.

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masculinity describes the roles, actions, and characteristics that are considered suitable for boys and men in a specific culture

Answers

The assertion is accurate. In a certain culture, masculinity refers to the roles, behaviours, and traits that are appropriate for boys and men.

What constitutes the core of masculinity?Men's place in the gender hierarchy is discussed in terms of masculinities. Masculinities, according to Whitehead and Barrett, are those behaviours, languages, and organizational practises that exist in particular cultural and organizational places and are typically associated with men and are hence culturally regarded as not feminine64. Men are expected to be assertive, tough, and focused on material achievement while women are expected to be more humble, tender, and concerned with the quality of life. This is what masculinity stands for in a culture where social gender roles are clearly distinct. Any word or adjective that is used to describe people or animals categorised as male falls under the definition of the masculine gender.

The complete question is:

Masculinity describes the roles, actions, and characteristics that are considered suitable for boys and men in a specific culture. true or false

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A nurse is planning to delegate a task to an assistive personnel. Which of the following actions should the nurse plan to take?
Assess the AP's ability to follow the client's teaching plan
Determine the social skills of the AP
Evaluate the ability of the AP to work with peers
Provide a clear description of the task to the AP

Answers

A nurse is preparing to assign a task to support staff. of the following should the nurse prepare to do Give the AP a detailed explanation of the assignment.

Which job should the nurse assign the support staff to complete?

An experienced UAP can be trusted with routine chores including taking vital signs, monitoring ambulation, changing the bed, assisting with hygiene, and daily living activities.

What tasks is the nurse able to assign to nursing support staff?

The care of stable patients, such as those who are in with dehydration, a urinary tract infection, or chronic renal failure, can be safely delegated by the nurse. A registered nurse should take care of any patient who needs complicated decision-making or who is seriously unwell.

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which of the following works was created by the maya? how to: items can be selected or deselected by clicking anywhere on the box. selected items are highlighted in blue. 1 2 3 4

Answers

They created a written language using hieroglyphs and created the idea of zero in mathematics. The Maya created an intricate and exact calendar system thanks to their knowledge of mathematics and astronomy.

Stone sculptures, architecture, pottery, wood carvings, and wall paintings are some of the most well-known examples of Mayan art. Stone carving and masonry required extraordinary expertise on the part of Mayan artisans. In addition to agriculture, the Preclassic Maya also exhibited more sophisticated cultural elements, such as the construction of cities, pyramids, and stone monuments with inscriptions. The Maya's calendar system was one of the most astounding products of their astronomical studies. One of the most precise calendar systems in human history was created by the ancient Maya by combining their expertise in mathematics and astronomy.

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By degree of their level of analysis, which of the following reflects the narrowest to broadest focus?
A. personality psychology, sociology, social psychology
B. personality psychology, social psychology, sociology
C. sociology, personality psychology, social psychology
D. social psychology, sociology, personality psychology

Answers

Answer:

b. personality psychology, social psychology, sociology.

Explanation:

Personality psychology is the narrowest because it looks at an individual's personality and classify its behavior. It looks at every individual having different qualities and personality. It only focuses on personality of human. Second comes social psychology which is the study of one's mind and behavior in relation to other people. It not only looks at one's personality but also interpersonal relations and group behavior. Finally sociology, it focuses on society in a broader sense. It looks at ideas that concerns the whole society and how norms and values of the society builds every individual. The key components to run a society, various theories that looks at functioning and structure of the society comes under the idea of sociology.

All of the following were advantages for the North EXCEPT:
a. longer tours of duty produced a more experienced army.
b. about 200,000 blacks served in the Union army.
c. the North was much more populated than the South.
d. most of the nation's industry was in the North.

Answers

An army with more experience was developed via lengthier tours of service. The correct answer is option (A).

What is North Except?

States that are typically considered to be a member of the Global North are generally wealthier and less unequal, with significant infrastructure investments, cutting-edge manufacturing, sophisticated technology, and energy sectors.

With the noteworthy exceptions of Palestine, Japan, and South Korea, the Global North primarily correlates with the Western world, whereas the South primarily correlates with the emerging nations once known as the "Third World" as well as the Eastern world. In contrast to those in the global south, which frequently have less assets and financial resources and whose populations are more likely to be living in poverty, the world's wealthiest nations are situated in the global north and have access to the most cutting-edge resources and technology.

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Reasons that human populations historically have settled in floodplains?

Answers

The landscape in floodplains tends to be level, and the soil there is typically rich. For transportation, floodplains are near rivers.

Why did people previously inhabit floodplains?

Permanent positions close to water were essential for transportation, water supply, and waterpower throughout the early European settlement and later growth of the United States. These regions have rich soils, which made them ideal for use as agricultural land.

Permanent positions close to water were essential for transportation, water supply, and waterpower throughout the early European settlement and later growth of the United States. These regions have rich soils, which made them ideal for use as agricultural land.

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Which of the following is a particular benefit of teamwork to the organization as a whole, rather than the individual?
O Increased motivation
O Job enrichment
O Learning skills from others
O Transfer of skills and technical expertise

Answers

Increased motivation is a particular benefit of teamwork to the organization as a whole, rather than the individual.

Teamwork allows individuals to take on additional decision-making authority while also giving team members more influence over the work process. Employee morale may rise when they obtain greater power and ownership over the tasks they are working on.

Teamwork pulls individuals together and pushes them to rely on one another to get things done (the bonding agent). Teamwork also facilitates progress (lubrication) and helps the group to overcome hurdles and increase motivation  that an individual would have encountered. None of this would be possible without collaboration.

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According to Robert Kelley's basic styles of followership, ________ are the "yes people" of organizations and are very active at doing their organization's work.

Answers

According to Robert Kelley's basic styles of followership, Compliant followers are the "yes people" of organizations and are very active at doing their organization's work.

Compliant followers are motivated to conform to the wishes of their leaders, and they are willing to go along with any direction given by the leader. They are usually very loyal to the leader and their organization, and they are often eager to please and take the initiative.

Compliant followers are often seen as the most trusted members of an organization because of their loyalty and willingness to take action. They are often the most loyal when it comes to following the leader's directions, even if the leader is wrong in their decision-making. They are also very willing to work hard to achieve organizational goals, and they are generally the first to volunteer to do extra work.

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Will mark brainliest to whoever answers!!
Socially divisive issues, where deeply committed segments of the population are lined up
against each other, or majoritarian issues (such as corruption or the economy),
where almost all Americans share similar notions of what is right but are not
sure which policy or candidate can achieve it?

Answers

Over the past two decades, the percentage of Americans who consistently express conservative or liberal viewpoints has increased from 10% to 21%.

Which policy or candidate can achieve it?

And partisanship and ideological thought are now far more tightly related than they were in the past. Because of this, there is less ideological overlap between the two major parties now: 92% of Republicans are to the right of the median Democrat, while 94% of Democrats are to the left of the median Republican.

Over the same time period, partisan hostility has grown significantly. Since 1994, the percentage of voters in each party who have a very unfavourable opinion of the opposition party has more than doubled. The majority of these fervent supporters feel that the policies of the opposition party "are so foolish as to harm the well-being of the nation."

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FILL IN THE BLANK. is from the date the forecast is made,___in making the forecast and____that the actual results will differ from the forecast. group of answer choices the more removed the forecast period, the greater the difficulty, the greater the risk. the analysis for variance analysis. based on managerial judgment. none of the above.

Answers

The complexity of producing the forecast and the likelihood that the forecast and actual results would diverge increase the further away the forecast period is from the date of the forecast. The right response in this case is option A.

A forecast period is a time frame that is set aside in the future for the development of an estimate of what is anticipated to occur during that time. The forecast could be expressed as a written or spoken declaration. It might also include numerical or pictorial data.

Businesses can develop data-driven plans and make smart business decisions thanks to forecasting. Financial and operational decisions are made based on the current situation of the market and future projections.

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P loses an arm in a farm accident and is paid $10,000 from his Accidental Death and Dismemberment policy. This benefit is known as the

Answers

If P loses an arm in a farm accident and is paid $10,000 from his Accidental Death and Dismemberment policy. This benefit is known as the: Capital Sum

What is Capital Sum?

Capital Sum can be defined as the amount of money that is been paid to an insured person by an insurance company when unforeseen or unexpected circumstances such as accident happens.

This capital sum is the amount paid  when damages or injury occur which affected an insured person,

Example of capital sum is when a person loses is leg as a result of accident which some certain about of money is paid to the person by an insurance company. This capital sum is a form of compensation.

Therefore the benefit is known as the capital sum.

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Which of the following best describes the three main components of word or lexical processing in the correct order, according to the model of word recognition reviewed in class?O lexical access → lexical integration → lexical selection O lexical selection→ lexical access→ lexical integration O lexical selection→ lexical integration →lexical access O lexical access→ lexical selection→ lexical integration

Answers

Lexical access → lexical selection→ lexical integration

The three main components of word or lexical processing, according to the model of word recognition, are lexical access, lexical selection and lexical integration.

Components of Word Recognition Model

The model of word recognition suggests that there are three main components of word or lexical processing.

The first step is lexical access, which involves accessing the meaning and sound of a word from memory. Following this, lexical selection occurs, where the meaning and sound of the word are identified. Lastly, lexical integration takes place, where the meaning and sound of the word are combined to form a complete representation of the word.

This process is sequential, with lexical access being the first step, followed by lexical selection and then lexical integration.

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FILL IN THE BLANK Grace whistles while tickling Khaleel with a feather. Eventually, Khaleel starts to squirm and giggle every time Grace whistles, even when he is not being tickled. In this example, squirming and giggling is a(n) ________.

Answers

Khaleel eventually begins to wriggle and grin whenever Grace blows a whistle, even when he has not been tickled. Squirming and chuckling in this instance is a conditional reaction.

What do we mean by a condition?

We mean anything that is necessary for something else to arise or occur. an environmental need, in particular. The existence of species depends on the presence of oxygen. a typically flawed condition of health. a severe cardiac ailment.

What different conditions are there?

Conditionals can be divided into four categories: zero, first, middle, and third. It's also feasible to combine them, using one form of conditional in the first portion of a statement and another in the second.

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which of the following statements describes the current status of women professionals within psychology in the united states?

Answers

they strive for egalitarian relationships. They strive to empower their clients. They take into account gender roles and the effects of androcentric society while working with clients.Answer:

Explanation:

A local manufacturing firm produces four different metal products, each of which must be machined, polished, and assembled. The specific time requirements for each product are as follows:
Machining hours Polishing hours Assembling hours Unit profit $
Product 1 3 1 2 6
Product 2 2 1 1 4
Product 3 2 2 2 6
Product 4 4 3 1 8

Every week, the firm has available to it a total of 480 hours of machining time, 400 hours of polishing time, and 400 hours of assembling time.

The firm has a contract with a distributor to provide 50 units of Product 1, and 100 units of any combination of Products 2 and 3 every week.

Through other customers, the firm can sell any number of units of Products 1, 2, and 3. However, no more than 25 units of Product 4 can be sold in a week.

How many units of each product should the firm produce each week, so that it can meet its contractual obligations, and maximize its total profit?

Answers

The monetary gain realized when the revenue from a commercial activity exceeds the costs, costs, and taxes incurred to maintain the activity in question is referred to as profit. Hence Maximize profit is $1,250 .  

What is profit ?

Any profits are returned to the company's owners, who can decide whether to keep them for their personal use, distribute them to shareholders as dividends, or reinvest them in the business.

Profit is the amount that remains after all expenses have been paid for a business. Making money is the primary goal of any business, whether it be a little lemonade stand or a publicly traded multinational organization. As a result, a company's success is determined by its profitability overall.

Step 1

Let

xi = number of units to me produced of product i where i = {i = 1,2,3,4}

Objective is to maximize profit = Max 6x1+4x2+6x3+8x4

Step-2

Subject to,

3x1+2x2+2x3+4x4 <= 480 (Machining hours)

x1+x2+2x3+3x4 <= 400 (Polishing hours)

2x1+x2+2x3+x4 <= 400 ( Assembly hours)

x1 >= 50 (Min demand of product 1)

x2+x3 >= 100 (Min demand of product 2 and 3)

x4 <= 25 (Max sell-product 4)

xi >= 0 (non-negativity constraint)

Step-3

Solving in solver we get,

a. Production of Product 1 = 50 units per week

b. Production of Product 2 = 0 units per week

c. Production of Product 3 = 145 units per week

d. Production of Product 4 = 10 units per week

e. Total Profit = $1250 per week

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