If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. never, non-optimal sometimes, optimal always, optimal

Answers

Answer 1

Answer:

always, feasible

Step-by-step explanation:

In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.

When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.


Related Questions

In a box of 150 paper clips, 81 are red. Which equation represents the
percent of red paper clips, x, in the box?

Answers

Answer:

Step-by-step explanation:

X=150×81/100

X=12,150/100

X=121.5.

The ratio is 81:150 or in simplistic terms 27:50. This means that for every 50 marbles, 27 of them is red.

To find percentage, place the amount of red marbles over the amount of marbles and multiply by 100.

81/150 x 100 = 54%

Or

27/50 x 100 = 54%

What are the distance between the pair of points E(-5,4) and F(6, 4)

Answers

Answer:

[tex]\boxed {\boxed {\sf d=11}}[/tex]

Step-by-step explanation:

Since we want to find the distance between a pair of points, we use the following formula:

[tex]d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points.

We are given the points E (-5, 4) and F (6,4). If we match the values and corresponding variables, we see that:

x₁= -5 y₁= 4 x₂= 6 y₂= 4

Substitute the values into the formula.

[tex]d= \sqrt{(6--5)^2+ (4-4)^2[/tex]

Solve inside the parentheses.

(6--5)= (6+5)=11 (4-4)= 0

[tex]d= \sqrt{11)^2+(0)^2[/tex]

Solve the exponents.

(11)²= 11*11= 121 (0)²= 0*0= 0

[tex]d= \sqrt{121+0[/tex]

Add.

[tex]d= \sqrt{121}[/tex]

Solve the square root.

[tex]d= 11[/tex]

The distance between the 2 points is 11.

Can you find the midpoint of AB​

Answers

Use the distance formula for the 2 points and then halve the answer
Use the distance formula for the two points!

The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?

Answers

Answer:

h = 28 inches

Step-by-step explanation:

Let the base of the triangle is b.

the height of the triangle is 4 inches less than four times its  base.

h = 4b-4

The area of the triangle is 112 inch².

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]

It is a quadratic equation, whose solution is as follows :

b = -7 and b = 8 inches

Height, h = 4(8)-4

= 32-4

= 28 inches

Hence, the height of the triangle is 28inches.

Math Puzzle - Please help me solve this. I am not sure.

Answers

Answer:

143547

Step-by-step explanation:

1) Multiply the first 2 numbers: 7 x 2 = 14

2) Multiply the first and third numbers: 7 x 5 = 35

3) Now we get 14 and 35. Add both these numbers: 14 + 35 = 49

4) Now subtract the second number that is 2 from 49: 49 - 2 = 47

5) Hence, the answer is 143547

Thanks for giving such an interesting question! Loved it!

The approximate land areas of the seven continents are listed in the table below.

Continent Area

(in sq. miles)
Africa 11.7 million
Antarctica 5.4 million
Asia 17.3 million
Australia 3.3 million
Europe 3.8 million
North America 9.4 million
South America 6.9 million
What is the median of the land areas of the seven continents?

9.4 million
6.9 million
7.4 million
5.4 million

Answers

Answer:

6.9 million

Step-by-step explanation:

the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.

Arrange the land areas in ascending order :

3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3

the number in the middle is the 4th number which is 6.9

PLS HELP
a) What is the equation of line A

b) What is the equation of line B

Answers

The equation of line A : y = 4
The equation of line B : x = 8

Answer:

The equation of a line A:x=4The equation of a line B:y=8

Step-by-step explanation:

i hope this helps u have a nice day .

what is the equivlalent expression of 6m​

Answers

Answer:

6 * m

Step-by-step explanation:

6m is is multiplication so should be the equivalent expression

Written out as words clearly says

six times a number

times meaning multiplication

Meaning any other expression is equivalent as long as it is a form of multiplication

If I'm wrong please tell me if not

Hope this helped :]

Find the area of the triangle. Round to the nearest tenth.

Answers

14

I believe see if someone else has a different answer

Volume of Prisms and Cylinders

Find the volume of the cylinder. Use 3.14 for \pi.

a. 339.12 cu. in.
b. 113.04 cu. in.
c. 226.08 cu. in.
d. 1356.48 cu. in.

Please select the best answer from the choices provided

Answers

Answer:

A. 339.12 cu. in

Step-by-step explanation:

I calculated it logically

EASY 20 POINTS AND BRANLIEST PLEASE HELP write the following without the absolute value sign
Ia^2I if a<0
a^2 is in absolute value

Answers

Answer:

a^2

Step-by-step explanation:

Ia^2I if a<0

Since a^2 is always positive, we can remove the absolute value sign and nothing will change

a^2


Plz help me well mark brainliest if correct.....????????

Answers

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

plz follow me wenelyn andoyo duay sana makatulong ako

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for white fly. A. Can this be considered an almost binomial situation

Answers

Answer:hmmm

Step-by-step explanation:

Determine the slope of the line passing through (4, -2) and (7, 10).

Answers

Answer:

4

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(10-(-2))/(7-4)

(10+2)/(7-4)

12/3

4

So the slope is 4.

---

hope it helps

The slope of the line passing through (4, -2) and (7, 10) is,

⇒ m = 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Two points on the line are (4, -2) and (7, 10).

Since, The equation of line passes through the points (4, -2) and (7, 10).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (10 - (-2)) / (7 - 4)

m = 12 / 3

m = 4

Thus, The slope of line = 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

GUYSS HELP ME OUT HERE ON THIS QUESTION SO I CAN GET FREE WIFI

Answers

Answer:

the answer is "NEVER GONNA GIVE YOU UP"

Step-by-step explanation:

please help with this question i will mark you brainliest !!

Answers

Answer: The equation is 25x + 100

Step-by-step explanation:

Find the average value of f(x)=2x^5 over the interval [1, 5].

Answers

Answer:

: let's recall that the average value of a function for an interval of (a,b) is given by formula: k=1b−a∫baf(x)dx where; k:average value k=16−2∫62(x2−2x+5)dx k=14(∣∣∣x33−2x22+5x∣∣∣62) k=14(∣∣∣x33−x2+5x∣∣∣62) k=14[(633−62+5⋅6)−(233−22+5⋅2)] k=14[(2163−36+30)−(83−4+10)] k=14[(2163−6)−(83+6)] k=14[216−183−8+183] k=14[1983−263] k=14[1723] k=17212

QuestionThe average of a function over an interval is computed as (1/width of interval) times the definite integral of the function evaluated over the interval. The indefinite integral of e^2x is (1/2)e^2x. So the answer is found by evaluating:(1/2)*[(1/2)[e^8 - e^4]], or (1/4)[e^8 - e^4]which equals about 731.6.

More

Brainly.com

Question

Find the average value of f(x)=2/x over the interval [1, 3].

Answer · 0 votes

[tex] \bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll}average~rate\of~change\end{array}\\-------------------------------\\f(x)= \cfrac{2}{x} \qquad \begin{cases}x_1=1\x_2=3\end{cases}\implies \cfrac{f(3)-f(1)}{3-1}\implies \cfrac{\quad \frac{2}{3}-\frac{2}{1}\quad }{2}\\\\cfrac{\quad \frac{2-6}{3}\quad }{2}\implies \cfrac{\quad \frac{-4}{3}\quad }{\frac{2}{1}}\implies \cfrac{-4}{3}\cdot \cfrac{1}{2}\implies -\cfrac{2}{3} [/tex]

More

Wyzant

Question

Find the average value of the function f(x)=x^3 over the interval [0,2] and find the value(s) of x at which the function assumes the average values

Answer · 0 votes

The average value of f is defined as: 1/(b-a)∫ f(x) dx (where integral is evaluated from a to b) If we are to integrate f(x) = x3 we get: (1/4)* (x4) Applying formula for average value: [1/(b-a)]*[(1/4)*(x4)]a to b Evaluating this result where a = 0 and b = 2: [1/(2-0)]*[(1/4)*(x4)]a to b =(1/2)*[((1/4)*x4)]a to b =(1/2)*[((1/4)*(2)4) - (2*(0^4))] =(1/2)*[((1/4)*16)-0] =(1/2)*(4) =2

The average rate of change over the interval [a,b], or the secant line between the points a and b on the function f(x), is [f(a) - f(b)]/[a-b]. So, substitute a for 1 and b for 5, and you get [f(1) - f(5)]/[1–5]. The quotient of that is your average rate of change.

the average value of f(x) on [a,b] is ∫[a,b] f(x) dx ----------------------- b-a f' = 3x^2-6x f = x^3-3x^2+4 so, you want ∫[-1,3] x^3-3x^2+4 dx -------------------------- 3 - (-1) which I'm sure you can do.

1/2 e 2 - 1/2 or 3.19 Given: ​f(x)=2x 2 e 2x ​ [0​, 1​] The average value of a function is: Where: a and b -intervals [a,b] f(x) - given function Substitute the values to the formula: In the integration of the function, we will use integration by parts: Let: u = 2x 2 dv = e 2x dx For du, get the derivative of u: du = 2(2x 2-1 ) = 4x dx For v, integrate dv: v = 1/2 e 2x Substitute the values to the integration by parts formula, and plug it in the solution: Get the integration by parts of xe 2x dx and let: u = x dv = e 2x dx for du,get the derivative of x du = dx For v, integrate dv v = 1/2 e 2x Substitute the values to the integration by parts formula, and plug it in the solution: Final answer: The average value of the function is 1/2 e 2 - 1/2 or 3.19

Step-by-step explanation:

plz brian list Oh and the real answer is  k=17212

Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)?

Answers

f ( x ) = 3x - 1

g ( x ) = 2x - 3

_____________________

g ( x ) = f ( 2 )

2x - 3 = 3(2) - 1

2x - 3 = 6 - 1

2x - 3 = 5

2x - 3 + 3 = 5 + 3

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

I NEED HELP ASAP: Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes.

A' ( ___, ___ )
B' ( ___, ___ )
C' ( ___, ___ )
D' ( ___, ___ )

Answers

Answer:

A - 1,4

B -5,8

C -5,4

D -4,2

Step-by-step explanation:

im not shure how to explain

Answer:

A' ( -1, -4 )

B' (-5, -8 )

C' (-5, -4 )

D' ( -4, -2 )

Step-by-step explanation:

I took the test

i probably did it wrong. please do a good explanation on how to find this out and answer my questions for brainliest thank you

Answers

Answer:

Step-by-step explanation:

As you can see from the value in the middle of the questions, the domain refers to all the possible x-values (input values) while the range refers to all the possible f(x) values (output values :: y-values). Therefore, for the domain, since the endpoints of the graph are closed circles it means that they are included so the domain would be ...

Domain: -9 ≤ x ≤ 7

The range would be the lowest and highest included y-value on the graph which in this case would be ...

Range: -6 ≤ f(x) ≤ 4

If f(x) = 2x3 – 12x2 + 26x — 20 and X
20 and X – 2 is a factor of f(x), then find
all of the zeros of f(x) algebraically.

Answers

wait what? i’m sorry i don’t understand

tell whether the ordered pair is a solution of the equation !! please help i will mark you brainliest!

Answers

Answer:

yes both questions the answer are equal

Step-by-step explanation:

(3,5) where 3 is the x coordinate and 5 is the y coordinate

putting it into y=5x-10

5=5(3)-10

5=5

(4,5) where 4 is the x coordinate and 5 is the y coordinate

putting it into y=2x-3

5=2(4)-3

5= 5

Determine if 0.949449444944449444449 rational or irrational and give a reason for answer. ​

Answers

Answer:

irrational if it's more after this number but if it stops at the last 9 then it's a rational number

hope this helps

have a good day :)

Step-by-step explanation:

This is irrational if it's more after this number but,

If it stops at the last 9 then it's a rational number.

We have given that,

0.949449444944449444449.

What is the meaning of irrational numbers?

An irrational number, any real number that cannot be expressed as the quotient of two integers.

We have to determine rational or irrational.

irrational if it's more after this number but.

If it stops at the last 9 then it's a rational number.

To learn more about the numbers visit:

https://brainly.com/question/251701

please help me with this

Answers

9514 1404 393

Answer:

  91°

Step-by-step explanation:

The similarity statement tells you that angles Q and H are congruent. The measure of angle H is shown as 91°, so that is the measure of angle Q.

  m∠Q = 91°

Find the missing angle

Answers

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Find the value of each variable in parallelogram ABCD. Please help <3!

Answers

Answer:

Step-by-step explanation:

opposite side sides of a parallelogram are equal.

6x=3x+15

6x-3x=15

3x=15

x=15/3

x=5

y+5=2y-10

5+10=2y-y

15=y

simply the expression below

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. (w-3)/(w-7)

Step-by-step explanation:

(w+3)(w-3)/(w-7)(w+3)

Hence, removing (w+3),

(w-3)/(w-7)

Feel free to mark this as brainliest :D

Umm i could use so help :)
If you don't mind
i think it's 16+88 but i was wondering what someone else thought.

Answers

Answer: I think your answer is right

Step-by-step explanation:

Find the sum of the series if n = 6, r = 1/4, a = 2.

Answers

Answer:

8.25

[tex]8\frac{1}{4}[/tex]

Step-by-step explanation:

n + r + a

6 + 0.25 + 2

8 + 0.25

8.25

You invest $50 with a simple interest return rate of 4% per year. How many years will it take to in investment to reach $70?​

Answers

Answer:

It would take 10 years for the investment to reach 70 dollars.

Step-by-step explanation:

The investment would gain 2 dollars per year. So in 10 years it will gain 20 dollars.

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