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mafiozo [28]
3 years ago
9

Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

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likoan [24]
<h3>Answer:  320 square meters</h3>

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Explanation:

The scale factor 4 means the dimensions of the second rectangle are 4 times larger.

The width of 4 meters bumps up to 4*4 = 16 meters.

The length of 5 meters becomes 4*5 = 20 meters.

So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.

The area of the second rectangle is therefore 16*20 = 320 square meters.

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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.

The 4^2 = 16 multiplier is the result of squaring the scale factor.

So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.

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3 years ago
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NNADVOKAT [17]

P = 6

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How to solve:

Note the equal sign. This means that both expression's out come must equal each other. For that to happen, everything inside both expressions must equal each other. In this case:

6x + Q = Px + 15; 6x + 15 = 6x + 15

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Answer:

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