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QUESTION

1) Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if...

1)

Minimize    C = 15x + 45y

Subject to 

2x + 5y ≥ 20

x ≥ 0,

y ≥ 0

C

Maximize  

P = 15x + 9y

Subject to:

2x + y ≤ 90

x + y ≤ 50

x + 2y ≤ 90

x ≥ 0,  y ≥ 0

P

Maximize   

P = 50x + 60y Subject to

2x + y ≤ 16

x + y ≤ 10

x ≥ 0,  y ≥ 0

P =

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