Solve the following linear programming problem using the graphic method:

Maximize: profit $=5A+2B$

Subject to constraints:

$3A+6B240$ resource $1$

$3A+2B120$ resource $2$

Based on your solution:

a$)$ Show your graph and calculations below.

b$)$ What is the optimal mix of A and B$?$

c$)$ What is the optimal profit?

d$)$ How much of each constrained resource is used by the optimal solution?

b$)$

c$)$

d$)$