Given This Problem: Maximize $Z = \$ .30 x + \$ .90 y$

Essay

Given this problem: Maximize $Z = \$ .30 x + \$ .90 y$

$$\begin{array} { l } \text{Subject to:}&2 \mathrm { x } + 3.2 \mathrm { y } \leq 160 \\&4 \mathrm { x } + 2.0 \mathrm { y } \leq 240 \\\mathrm { y } \leq 40\end{array}$$ (A) Solve for the quantities of x and y which will maximize Z.
(B) What is the maximum value of Z?