pianojedi1013 pianojedi1013
  • 10-12-2019
  • Mathematics
contestada

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

please help

Find the values of x and y that maximize the objective function P3x2y for the graph What is the maximum value please help class=

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KerryEye KerryEye
  • 16-12-2019

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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