Question

Please help! :)

Maximize C = -3x + 2y, subject to:

x ≥ 0
y ≥ 3
x + 3y ≤ 18
x + y ≥ 8

Answer 1

What math class is this for?

Answer 2

Pre-Calc

Answer 3

So notice that C increases if y increases, or x decreases. So you need to find the maximum possible y, and minimum possible x.

Answer 4

Easiest way to do this, is to graph the inequalities.

\(y\ge8-x\)
\(y\le6-x/3\)