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)

Tutors, please sign in to answer this question.

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.

Nafeesa M.

Expert SAT, ACT, Math, and French Tutor!

New York, NY

4.9
(115 ratings)

Michael E.

H.S. Mathematics Tutor (Certified NJ Teacher)

Saddle Brook, NJ

5.0
(113 ratings)

Amaan M.

Math/Economics Teacher

New York, NY

5.0
(68 ratings)

- Algebra 1 3770
- Solving Inequalities 42
- Geometry 1715
- Triangles 186
- Algebra 4568
- Math 8635
- Word Problem 4740
- Math Help 4878
- Inequality 126
- Equations 646

## Comments