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

Please solve correctly :)

Part C only!!!​

Answers

Answer:

So, the average rate of change is 0.475.

Step-by-step explanation:

If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.

Use a calculator to find log 0.0019. round answer to 2 decimal places

Answers

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?

Answers

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

What is the slope for this table?

Answers

Answer:   Slope = -3

=======================================================

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

x = 0 and y = 4x = 1 and y = 1

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

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

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

GIVING BRAINLIEST PLEASE HELP

Answers

Answer:

S=16×2

S=32

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

The answer is 32 because the denominator times the answer(16) is 32 and that’s how you solve it.

HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)

$3000
$76
$3800
$900

Answers

Answer:

$3800

Step-by-step explanation:

If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800

I need a step by step explanation
n - 31
--------- = 2
4

Answers

Answer:

39

Step-by-step explanation:

4 x 2 = 8

8+ 31 is 39

Task 2: Components of Your Will
Describe the components of your will and how you will specify each one.
Type your response here:

Answers

My will? Wym my will
Are you talking about the will when I die? Or

what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?​

Answers

The slope would be 4

-y = -4x + 7

Solve for y

y = 4x - 7

Since the line is parallel to this one, they would have the same slope.

Hello there!

Parallel lines have the same slope.

So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.

Hope it helps!

Please mark Brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

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

Mandy has 1 drink and Karl has 2 Mandy takes all of Karl's drinks

Answers

Answer:

What is this question asking? If you give me a question to answer I can help you.

Step-by-step explanation:

HELPPPPPP plsssssssssss

Answers

Answer:

270°

Step-by-step explanation:

∠ PQR = 90° ( angle in a semicircle )

PRST is a cyclic quadrilateral

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

Then

∠ PRS + ∠ PTS = 180°

∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°

what is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Answers

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

pls help, algebra 1

Answers

Answer:

20, 35, 50

Step-by-step explanation:

max has x dollars. Keisha has four more dollars then max

Answers

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

Can someone tell me the slope of this graph

Answers

Answer:

Slope = 3

Step-by-step explanation:

The formula to find the slope of a graph using two points is:

m = Δy/Δx

where m is the slope

We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do

m = Δy/Δx = (30-15)/(6-1)

= 15/5

= 3

Thus the slope of this graph is 3

Hello please help me with this question

Answers

The answer to this question is 5589

Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

Answers

Answer:

x less than or equal to 16.6

Step-by-step explanation:

50 divided by 3 is 16.6

since Jill wants 50 square feet as the maximum area x can be less than 16.6.

Help me
pleaseeee
i need help

Answers

Answer:

A=2, B=28

Step-by-step explanation:

A:6:7

8:24:B

A=8÷4

 =2

B=7×4

 =28

Answer:A=2

B=28

Step-by-step explanation:

4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5

Answers

Answer:

C. 2

Step-by-step explanation:

Use the formula  

x  =  − b /2 a

to find the maximum and minimum.

( − 3 , 2 )

A hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent?

Answers

5151-3317=1834 feet 38 minutes

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

●y= mx + c

y = 9x + 1/2

slope m =9

Is anyone can do this?

Answers

Answer:

Surface of[tex]35,875.86 cm^2[/tex]

Voliume of [tex]234,671.58 cm^3[/tex]

Long and painful calculations

Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.

Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]

We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]

Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]

Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]

Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]

Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].

Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is  [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]

Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]

Volumes now. You wished this was over? I totally did.

Bulk of the calculations are done luckly. It's just to cut and paste here and there.

Pyramid first. We know the side length, we know the height, volume is the usual formula

[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]

Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:

[tex]54*54*70= 204,120 cm^3[/tex]

Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:

[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]

From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]

We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]

Double and triple check numbers, even if I rand them with excel.

What is the value of x? If necessary leave your answer in the simplest radical form.

Answers

Answer:  32

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

Write an inequality that represents the following. Employees receive a bonus
of $80 plus $15 per hour, h, for working on New Year's Eve. If an employee
earned no more than $205.

Answers

So Is This (80+15) or something

Pls someone help asap! Only answer if you know the correct answer thanks!

Answers

Answer:

xx

Step-by-step explanation:

what does cpctc stand for and when would you use it

Answers

Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

Find two positive numbers whose difference is 13 and whose product is 230

Answers

Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Answer:

10 and 23

Step-by-step explanation:

expand and simplify (x-2)(x-3), please help

Answers

Answer:

hope it helps you

(•‿•).........

Find the perimeter. Simplify the answer.

Answers

Answer:

4u

Step-by-step explanation:

add up all the sides: u+u+u+u=4u

Other Questions
Sam has $10 to buy balloons at The Village Gift Shop. He wi He will buy at least one of each size of balloon. He will buy as many balloons as he can. He will spend as close to $10 as he carrwithout going over Using his rules, how many small balloons and large balloons answer. *PLEASEE HELP* (x+a)^2 -7 = x^2 +10x +bWork out the value of a and b. The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length? Analyze the table below and answer the question that follows.A 6-column table with 2 rows. Column 1 has entries Total G D P in 2009 and G D P Per Capita. Column 2 is labeled Spain with entries 1,647 billion dollars, 32,030 dollars. Column 3 is labeled Brazil with entries 1,574 billion dollars, 8,220 dollars. Column 4 is labeled Pakistan with entries 162 billion dollars, 989 dollars. Column 5 is labeled Algeria with entries 139 billion dollars, 3,995 dollars. Column 6 is labeled Italy with entries 2,118 billion dollars, 35,435 dollars.Data courtesy of the IMFWhich of the countries in the table above had the most developed economy in 2009? Explain your answer In which container are the particles of water moving fastest? In which container are the particles moving slowest Caleb has poor eyesight from cataracts, a constant cough and restricted blood flow in some blood vessels. Which drug is most likely to abuse 10. Nick, were goin to a cultural event .Would you like to join us?A. J4F! B. 2moro C. w/ D. EZ Which sentence correctly combines the two sentences from the passage?There is one person who helped ensure that I would be speaking to you today, one person who believed in me and encouraged me. It is Ms. Maple.A. There is one person who helped ensure that I would be speaking to you today, one person who believed in me and encouraged me: Ms. Maple.B. There is one person who helped ensure that I would be speaking to you today, one person who believed in me and encouraged me; It is Ms. Maple. C. There is one person who helped ensure that I would be speaking to you today, one person who believed in me and encouraged me - Ms. Maple.D. There is one person who helped ensure that I would be speaking to you today, one person who believed in me and encouraged me, it is Ms. Maple. PLEASE HELP THESE ARE MY LAST 3 QUESTIONS LEFT AND IM HAVING TROUBLE WITH THEM1. CH18C20H15CHCO2 How many atoms of each element are in one molecule of cardenolides?2.How many atoms are in mercury (I) phospate? The chemical formula is (Hg2)3(PO4)23.The burning of hexane is shown in the following chemical equation. How many oxygens are in the products to the right of the arrow? 2C6H14 + 19O2 12CO2 + 14H2O + heat I need help ASAP pls be right sn know what your doing What molecules are required for the Calvin cycle? (3 answers) please help asap 50 points and brainliest Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function . Make b the subject of P = 1/2 a b + c where b is positive. (3 marks) ________ is a statistically based philosophy that aims to reduce defects, boost productivity, eliminate waste, and cut costs throughout a company. The Mexican-American War ended in 1848. What was the impact of the Mexican Cession on American politics Which description best fits a narrative essay?A. a description of an object or eventB. a poem about the authors lifeC. a story drawn from the authors lifeD. a report on the authors favorite book The belief that the Constitution has a strict interpretation and its meaning does not change is known as which of the following? Select one:a.Judicial restraintbJudicial correctioncJudicial justice A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left? Lay's Meat Market has 8,000 shares of stock outstanding at a price per share of $13. What will the price per share be if the firm declares a 3-for-5 reverse stock split