The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.

Answers

Answer 1

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

https://brainly.com/question/11206462

Answer 2

Answer:

3080 is the answer ^

Step-by-step explanation:


Related Questions

PLS HELP ASAP !!

i'll mark as brainliest if u answer:))

Answers

Answer:

A = 60

B:25

Step-by-step explanation:

A looks about 1/3 of a 180

B looks about 1/3 of A

Maria and Carlos went to the game store during its sale.
Together they spent $38.50. If each game cost $3.50 and Carlos
bought one more tan Maria, how many games did each buy?

Answers

Answer:In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

38.50 divided by 3.50

11

if there are 11 in all then carols bought 6 games

and Maria bought 5 games

10 x 9= what is it help

Answers

Answer:

10

[tex]10 \times 9 \\ 90[/tex]

Answer:

90 :)

Step-by-step explanation:

10 x 9 = 90

= 90 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.

Answers

There are 54 7th graders

Answer:

54

Step-by-step explanation:

There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.

you simply have to find 45% of 120

120 : 100 * 45 = 54

14. Find the area of this rectangle.

Answers

Answer:

8×7 = 56 cm^2

.....................

Answer:

Step-by-step explanation:

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

so

8 × 7 = 56 cm²

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

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

[tex]2[/tex]

Michael is making cookies. Each batch uses 3 cups of flour. He plans to use less than 41 cups of flour for cookies so that he has enough left to make muffins. He has already used 5 cups of flour for cookies.
How many more batches of cookies can Michael make?
1. Fewer than 15.3333...
2. Greater than 15.3333...
3. Fewer than 12
4. Greater than 12​

Answers

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

HELPPPPPPPPPPPPPPPPPP MEEEEEEEE

Answers

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

please help... ABCD is a quadrilateral​

Answers

A ———————————————————

What is 5261.436 rounded to the nearest thousand?

Answers

Answer:

5261.436 would be the answer

The answer would be 5,000 for rounding to the nearest THOUSAND.

Hope this helped. :)

The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?

Answers

Answer:

the one you picked was right.

Step-by-step explanation:

if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense

why do u get to determain how many daily limits i can have u encourge alot of a ton people to buy you're vip for over priced prices it dum and so is youre app

Answers

Looooollllllllllll.

Jessica is a custodian at Oracle Arena. She waxes 20 square meters of the floor in 3/5 of an hour. She waxes the floor at a constant rate.

At this rate, how many square meters can she wax per hour?

Answers

divide 20 by 3 to see how much she would wax in 1/5 of an hour.
20/3= 6.66666667
6.66666667 * 5 =
33.3333333
i think :)

Where does the graph of y= sin x from x= 0 to x= 217 start?
O A.
at its minimum
O B.
at an x-intercept
O C.
at its maximum
OD.
between an x-intercept and its maximum

Answers

Answer:

at an x intercept

Step-by-step explanation:

You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.

and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

------------------------------

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (4-7)/(7-1)

Slope = -3/6

Slope = -1/2

10p^8 divided by 5p^4

Answers

Answer:

[tex]\sf \cfrac{10p^8}{5p^4}[/tex]

Factor: [tex]\sf 10= 5\times 2[/tex]

[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]

Cancel common factor:- 5

[tex]\sf \cfrac{2p^8}{p^4}[/tex]

Use the Quotient Rule:

[tex]\sf 8-4=4[/tex]

[tex]\boxed{\sf 2p^4}[/tex]

330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.

Answers

Answer:

Step-by-step explanation:

330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say

33x10^22

This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:

3.33x10^23

The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33.  Go with the one you prefer.

Will give brainliest!

Answers

Answer:

1[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

17/20 + 7/20

17+7=24

24/20 =1.2

1 [tex]\frac{4}{20}[/tex]

can simplify to be 1[tex]\frac{1}{5}[/tex]

Answer:

1 1/5

Step-by-step explanation:

17/20 + 7/20 is equal to 24/20. Because the denominater (20 in this case) is the same we can leave it there and just add the numerator.

Now to simplify into a proper fraction. We know that only 1, 20 goes into 24 because if there was 2, 20's it would be 40 which is greater than 24. So 24 - 20 is 4. Therefore the answer is 1 4/20 which can be simplified to 1 1/5

is 2(x+8)-3(y-7) linear or non linear?

Answers

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

Someone help plz and thanks

Answers

Answer:

Step-by-step explanation:

Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41

Probability of a chosen student be Physics or Chemistry or both =

[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]

can someone pls help me

Answers

Answer:

The independent variable is the week's, the dependent variable is the height in inches.

Step-by-step explanation:

The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.

Extra Information is below

Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.

Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.

Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?

Answers

Answer:

1575

Step-by-step explanation:

Find the measure of each marked angle.

Answers

Answer:

73 and 73

Step-by-step explanation:

2x+45=5x+3

3x=42

x=14

2(14)+45 =73

the other should also be 73

[tex]\sqrt{x} +1=3\\[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

arrange the cards into three pairs of the same total.
-7,-5,-3,3,1,-1

Answers

the answer is ( -7; 3) (-5; 1) ( -3;-1)

ok done. Thank to me :>

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

pls help me out
6x + 12x = 90

Answers

Answer:

x=5

Step-by-step explanation:

6x+12x=90

18x=90

x=90/18

x=5

Answer:

x =5

Step-by-step explanation:

To solve for x:

1: add like-terms

          6x+ 12x = 90

Now it is:  18x =90

2: use division on both sides to solve for the variable

           18x= 90

           18x/18 = 90/18

              x = 5

A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW

Answers

Answer:

IS LINEAR

Step-by-step explanation:

Can someone help please no links

Answers

Answer:

-4 or 4 I would have to go with-4!!

Step-by-step explanation:

I hope this helps in any way!!

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