Maximize the Object Function $z = 10 x + 8 y$

Multiple Choice

Maximize the object function $z = 10 x + 8 y$ subject to the constraints $x + 5 y \leq 25 , x + y \leq 9,4 x + 2 y \leq 32 , x \geq 0 \text {, and } y \geq 0$ .

A) The maximum value is 90 at $( 5,4 )$ .
B) The maximum value is 122 at $( 5,9 )$ .
C) The maximum value is 130 at $( 9,5 )$ .
D) The maximum value is 86 at $( 7,2 )$ .
E) The maximum value is 56 at $( 4,2 )$ .