Solve the Linear Programming Problem $C = - 7 x + y$

Multiple Choice

Solve the linear programming problem. Minimize $C = - 7 x + y$ subject to $x + 5 y \leq 20$ $6 x + 5 y \leq 30$ $x \geq 0 , y \geq 0$

A) $x = 6$ ; $y = 0$ ; $C = - 42$
B) $x = 0$ ; $y = 2$ ; $C = - 37$
C) $x = 0$ ; $y = 0$ ; $C = 0$
D) $x = 6$ ; $y = 1$ ; $C = - 35$
E) $x = 5$ ; $y = 0$ ; $C = - 35$