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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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NNADVOKAT [17]

Answer:

Step-by-step explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14   {subtract 26x form both sides}

28x - 26x = 14

          2x = 14   {divide both side by 2}

        2x/2 = 14/2

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KL = 14x = 14*7

KL = 98

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Answer:

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Remember the formula for a line is y=mx+b, where m is slope (slope = rise/run) and b is y-intercept (y-intercept is the point that crosses the y-axis)

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