x>0

y>0

x+y<7

5x+2y<20

Mulitiple choice:

A.7

B.12

C.-8

D.-10

x>0

y>0

x+y<7

5x+2y<20

Mulitiple choice:

A.7

B.12

C.-8

D.-10

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New Wilmington, PA

I'm assuming your constraints contain ≤ and ≥, rather than < and >.

The expression (-2x+y) will be at a minimum when x is as large as possible and y is as small as possible. The smallest y can be is 0. Since 5x+2y<20, the largest x can be is 4. Therefore, c=-2x+y has its minimum at (4,0), which is c=-8.

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