Maximize the Object Function $z = 15 x + y$ Subject to the Constraints

Multiple Choice

Maximize the object function $z = 15 x + y$ 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 5 at $( 0,5 )$ .
B) The maximum value is 107 at $( 7,2 )$ .
C) The maximum value is 79 at $( 5,4 )$ .
D) The maximum value is 120 at $( 8,0 )$ .
E) The maximum value is 120 at $( 2,7 )$ .