Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each one set of silver magnetic spheres and brass magnetic spheres respectively. One set of silver magnetic spheres yields a profit of $3 while a set of brass magnetic spheres yields a profit of $5. Ms. Ball estimates that no more than 2000 sets of magnetic spheres will be sold every month and she does not plan to invest more than $20,000 in inventory of these sets. How many sets of each type of magnetic spheres should be stocked in order to maximize her total monthly profit? What is her maximum monthly profit?​

Answers

Answer 1

Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.


Related Questions

Profit is the amount of money that remains after all expenses of a project have been paid. Acme Construction has just completed the construction of a​ building, and Fred​ Jones, the project​ manager, is doing the final accounting. Acme bid​ $232,500 for the project and was awarded a contract for that amount. The cost of​ construction, including​ labor, building​ materials, and other expenses such as equipment rental was​ $198,468. What was the profit on this​ project?The total amount of profit is ​$______.

Answers

Answer:

$34032

Step-by-step explanation:

Acme bid​ $232,500 for the project and was awarded a contract for that amount.

The cost of​ construction, including​ labor, building​ materials, and other expenses such as equipment rental was​ $198,468.

We know that,

Profit = The amount of money that remains after all expenses of a project have been paid

Profit = $232,500-$198,468

= $34032

Hence, the profit is $34032.

Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=​High, M=​Medium, and L=Low. Complete parts a and b below.

y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M


Required:
a. Using​ technology, construct a regression model using all three independent variables.​
b. Complete the regression equation for the model​ below, where x3 represents the dummy variable Cond1​, and x4 represents the dummy variable Cond2.

y= ____ + (____)x2+ (____)x3 + (____)x4

Answers

Answer:

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

Step-by-step explanation:

y 63 53 77 53 38 43 34 20 13

x1 45 42 40 37 27 24 20 14 12

x2 74 62 80 53 42 48 35 16 13

x3 H H L M H M L L M

For regression analysis : all variables must be quantitative ;

X3 variable may be represented as thus;

L = 1 ; M = 2 ; H = 3

Hence ;

X3 = 3 3 1 2 1 2 1 1 2

y= ____ + (____)x2+ (____)x3 + (____)x4

Using the online multiple regression calculator :

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

From the general formular of a linear model:

y = w1x1 + w2x2 +... + wnxn + c = 0

Where c = intercept

w1,.. wn = weight of explanatory variable

Hence, the weights of x2 = 0.2068

Weight of x3 = 0.7995

Weight of x4 = - 3.607

Intercept = 6.6406

solve the equation
–12p = 24

Answers

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

Rate of change is a ______ that describes how much one quantity ______ in respect to another

Answers

Answer:

A rate of change is a RATE that describes how one quantity CHANGES in relation to another quantity.

capital and underlined is your answer

which is expression is equivalent to 1/5÷1/2

Answers

Answer:

2.5

Step-by-step explanation:

2.5 because it expression on its equivalent

Which point lies on the line -x+4y=-3

Answers

Answer:

3x+4y

gyhhuhyyb buhhujnjjijnjijhu

You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 and 1, each with probability 1/2. Assume 0 < p < 1. You adopt the following procedure. You start by flipping the coin twice. If both flips produce the same side of the coin, you start again. If the result of the first flip is different from the result of the second flip, you report the result of the first flip, and you are finished (this is a trick originally due to John von Neumann). (a) Show that, in this case, the probability of reporting heads is 1/2. (b) What is the expected number of flips you must make before you report a result?

Answers

Answer:

(a) Hence, the probability of reporting heads is 1/2.

(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).

Step-by-step explanation:

Solution:

To generate a random variable takes value 0 and 1.

Let 0 < p <1,

A coin is flipped twice.

(a) Probability of reporting head is 1/2.

The result of two toss is either HT or TH.

In this case we used conditional property, Given that you got either HT or TH,

Probability of occurring head or tail:

P (1ST = H| HT or TH]

= P (H) / P (HT or TH)

= P (HT) / P (HT or TH)

= P (1-P) / P (1-P) + (1-P)P

= P (1-P) / 2P (1-P)

=1/2

Hence, the probability of reporting heads is 1/2.

(b) Expected number of flip before report a result.

The probability of reporting a result on each trial is:

P (HT or TH)

=P (HT) + P (TH)

=P (1-P) + (1 –P) P

= 2P (1 –P)

Since, E(X) = 1 / P

Therefore, the expected number of such trial is 1 / 2p (1 –p).

3х + 2y = 2
y = 4
Substitution

Answers

Answer:

x=-2

Step-by-step explanation:

hi! let's plug in 4 for y in the equation.

3x+2(4)=2

3x+8=2

3x=-6

x=-2

Answer:

x= -2

Step-by-step explanation:

you are going to substitute 4 in for y and then solve for x.

How many cubic yards of dirt will it take to fill a hole that is in the shape of a cube 3 yards on each side?

Answers

Answer:

27 yds^3

Step-by-step explanation:

Answer:

27 cubic yards

Step-by-step explanation:

3 x 3 x 3 = 27

please help me lol aaaaa

Answers

Answer:

−0.125 or - 1/8

Step-by-step explanation:

Help. This is graded lol. Also due in 1 hour soooooo pls go quick. Also explain, since I actually wanna know how to do this.
40 POINTS ON THE LINE (idk if that's a lot)

Answers

answer:
1. 47
2. 119
3. 97
4. 62

explanation:

1. 180-133= 47
2. they’re vertical angles, so they’re equal
3. 180-83= 97
4. set the two expressions equal to each other and solve
8x-34 = 5x+2
x= 12
plug in 12 for x
5(12)+2
to get
62

Answer:

[tex]m\angle1 =47^o[/tex]

[tex]m\angle2 =119^o[/tex]

[tex]m\angle ABC =97^o[/tex]

[tex]m \angle FED = 62^o[/tex]

Step-by-step explanation:

angle 1 and the angle 133 degrees are supplementary angles, then added should give 180 degrees.

angle1 + 133 = 180   then angle1 = 180-133 = 47 degrees

[tex]m\angle1 = 180^o - 133^o=47^o[/tex]

Angle 2 is of the same measure as the angle marked as 119 degrees since they are what is called "corresponding angles between parallel lines."

Angle ABC plus angle that measures 83 degrees should add to 180 since their sum gives a straight line, then:

ABC + 83 = 180

ABC = 180 - 83 = 97 degrees

Last image:

The two angles with algebraic denomination should be equal because they are alternate internal angles, Then this equality can be written as:

8 x - 34 = 5 x + 2

solve for x by subtracting 5 x from both sides:

3 x - 34 = 2

add 34 to both sides:

3 x = 2 + 34

3 x = 36

x = 36/3

x = 12

and now knowing x we can find angle DEF

DEF = 5 x + 2 = 5 (12) + 2 = 60 + 2 = 62 degrees

PLEASE HELP WITH THIS WILL GET EXTRA POINTS

Answers

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

(4,-8)and(6,-9) written in point-slope form,slope-intercept form, and standard form

Answers

Answer:

Point slope-  y + 8 = − 1 2 ⋅ ( x − 4 )

Slope Intercept Form- y = − 1/ 2 x − 6

Slope- m=-1/2

Step-by-step explanation:

Point slope- y-y₁=m(x-x₁)

Slope Intercept form- y=mx+b\

Slope- rise/run= y2-y1/x2-x1

A sphere has a diameter of 8cm. Which statements about the sphere are true? Check all that apply.
• the sphere has a radius of 4cm.
• the sphere has a radius of 16 cm.
• The diameter’s length is twice the length of the radius.
• The radius’s length is twice the length of the diameter.
• The volume of the sphere 2048/3 pi. cm. cubed
• the volume of the sphere is 256/3 pi. cm. cubed

Answers

Answer:

The sphere has a radius of 4 cm.The diameter’s length is twice the length of the radius.The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

For the function f(x)=ab^x, what are the possible values for b if the function is an exponential growth function? Please select two answers.
A) 1-0.00001
B) 0.9
C) square root of 2
D) 1/2
E) 1.1

Answers

Answer:

C and E

Step-by-step explanation:

the b value of an exponential function needs to be greater than one to be exponential growth

[tex] \sqrt{2} [/tex]

and 1.1 are the only 2 that are greater than one

The possible values for b are those that are greater than 1. The correct answers are square root of  and 1.1, the correct options are C and E.

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x)=ab^x

Now,

An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.

Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2


The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?

Answers

Here’s the answer of your question

The required value of v is -2 for a given line with a slope of 8.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

Thanks ninofhghvhghvhv

Answers

Answer:

ok

Step-by-step explanation:

❤️

Answer:

okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi

2. Which of the following is an irrational number?
A. 3
B. 3.5
C. 36
D. 15

Answers

3.5 because a decimal is irrational, a whole number is natural.

Answer:

C. 36

because can not be expressed as a ratio

GET AN EASY BRAINLIEST FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

5-9=(-4)

hope this helps :3

Answer:

Can i get a brainliest please? :·3

Step-by-step explanation:

I wasn't here on time

PD: anyone play clash of clans?

PPD: join my clan if you do

PPPD: Link: https://link.clashofclans.com/en?action=OpenClanProfile&tag=2L9YRJYQC

PPPPD: We speak spanish and english

6 hours and 30 minutes after 11;00 is what time

Answers

Answer:

5:30

Step-by-step explanation:

you go ahead and add the 30 minutes so you then have 11:30 plus 6 hours is 5:30 because it only goes to 12:00 and repeats.

Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please

Answers

Answer:

what questions need to be done? We need to know the problems before we answer them. :/

The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

An airplane is flying overhead at a constant elevation of 4090 ft. A person is viewing the plane from a position 3010 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 700 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower

Answers

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

3/5 x 1/7 please help

Answers

3/5 x 1/7 = 3/35, characters

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

which is bigger, 3/5 or 0.625

Answers

0.625 is bigger
When you divide 3/5 the result is 0.6
So yeah hope this is helpful

Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.

Answers

9514 1404 393

Answer:

smaller: -4larger: -1

Step-by-step explanation:

Substituting the given variables into the word problem, we have two equations:

  3x +3y = -15

  6x -3y = -21

Adding these equations eliminates y:

  9x = -36

  x = -4 . . . . divide by 9

Using this in the first equation, we have ...

  3(-4) +3y = -15

  -4 +y = -5 . . . . . divide by 3

  y = -1 . . . . . . . . . add 4

The smaller number is -4; the larger is -1.

Two lines in the same plane that do not intersect are.
A.line segment
B.perpendicular
C.parallel
D.midpoint

Answers

The answer is c they’re parallel

apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.​

Answers

Answer:Billy is correct

Step-by-step explanation:

Drag the operator to the correct location on the image. Which operation results in a trinomial?

Answers

Answer:

-

Step-by-step explanation:

I took the test

The correct operator that enters a circle is a subtraction sign.

Given the expressions

[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]

We need to know which sign goes into the bracket that will give a trinomial when simplified.

A trinomial is a function containing 3-terms.

Using the subtraction sign.

[tex](4x^5-8x) - (3x^2-8x+9)[/tex]

Expand

[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]

Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.

Learn more here: https://brainly.com/question/1320408

Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250

Answers

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

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