y>4

x>1

x+2y<16

y-x<5

Multiple choice:

A.(8,4)

B.(10,1)

C.(1,4)

D.(2,7)

y>4

x>1

x+2y<16

y-x<5

Multiple choice:

A.(8,4)

B.(10,1)

C.(1,4)

D.(2,7)

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New Wilmington, PA

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

The expression (12x-4y) will be at a maximum when x is as large as possible and y is as small as possible. The smallest y can be is 4. Since x+2y≤16, the largest x can be is 8. Therefore, c=12x-4y has its maximum at (8,4), which is c=80.

Aliquippa, PA

Valerie, I think the answer is D. I did this by graphing the original equation and adding the constraints onto it, and I'm pretty sure D (2,7) is the answer. I hope some other tutors on this site will weigh in with their answers.

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