Determine the Values of X and Y That Produce the Maximum

Determine the values of x and y that produce the maximum value of the objective function on the feasible
region. Determine the maximum value of the objective function on the feasible region.
- $$\begin{array} { l } x \geq 0 , y \geq 0 \\110 x + 70 y \leq 8,600 \\x + y \leq 100 \\\quad \text { Maximize: } z = 35 x + 30 y\end{array}$$

A) $x = 55 , y = 45$ ; Maximum value: 3,275
B) $x = 40 , y = 60$ ; Maximum value: 3,200
C) $x = 45 , y = 55$ ; Maximum value: 3,225
D) $x = 60 , y = 40$ ; Maximum value: 3,300