Chapter 8.6, Problem 17PE

For Exercises 13-18,

a. For the given constraints, graph the feasible region and identify the vertices.

b. Determine the values of $x$ and $y$ that produce the maximum or minimum value of the objective function on the feasible region.

c. Determine the maximum or minimum value of the objective function on the feasible region.

$\begin{array}{l}x\ge 0,y\ge 0\\ x\le 36\\ y\le 40\\ x+y\le 48\end{array}$

Maximize: $z=150x+90y$