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Quiz: Quiz 2 This Question: 1 pt Minimize the objective function 3x+3y subject to the constraints 2xty 2 13 x+2y 2 14 x20, y2
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Answer #1

2x + y >= 13

x + 2y >= 14

x >= 0 , y >= 0

graph shoen below

15 (0, 13) (4,5) -5 10 (14, 0) -5

corner points are ( 0,13 ) , ( 4,5) , ( 14 , 0 )

testing objective function at each point

3x + 3y

3(0) + 3(13) = 39

3(4) + 3(5) = 27

3(14) + 3(0) = 42

minimum value is 27
value of x is 4
value of y is 5
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