Find, If Possible, the Minimum Value of the Objective Function $-2 x+y \leq 12, x-y \leq 2, x \geq 0 \text { and } y \geq 0$

Multiple Choice

Find, if possible, the minimum value of the objective function 3x - 4y subject to the constraints $-2 x+y \leq 12, x-y \leq 2, x \geq 0 \text { and } y \geq 0$

A) - 36
B) 0
C) - 8
D) No solution
E) 8