Question
Asked Nov 22, 2019
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In this problem you will maximize and minimize the objective function P = -1
1y subject to the following constraints:
8x 7y
-330
-5x 9y < 340
13 2y
400
How many corner points does the system have?
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In this problem you will maximize and minimize the objective function P = -1 1y subject to the following constraints: 8x 7y -330 -5x 9y < 340 13 2y 400 How many corner points does the system have?

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Expert Answer

Step 1

Maximize and minimize the function

P =-x+y
subject to
8x 7y 2-300
-5x+9y 340
13x 2y 400
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P =-x+y subject to 8x 7y 2-300 -5x+9y 340 13x 2y 400

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Step 2

Draw the graph and find the enclosed region-

у
8x +7y=-330
200
-5x+9y340
100
(-50, 10)
(40, 60)
300
х
-100
100
200
200
(20, -т0)
-100
13x 2y 400
200
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у 8x +7y=-330 200 -5x+9y340 100 (-50, 10) (40, 60) 300 х -100 100 200 200 (20, -т0) -100 13x 2y 400 200

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Step 3

Area in pink is the required area.

...
(-50,10).(40,60).(20.-70)
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(-50,10).(40,60).(20.-70)

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