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Find the minimum value for the equatio c=-2x+y given the following constriants:

x>0
y>0
x+y<7
5x+2y<20
 
 
Mulitiple choice:
 
A.7
B.12
C.-8
D.-10
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1 Answer

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.