Answer:
The minimum value is C=0
Explanation:
After plotting the inequality, we obtain the vertices of the feasible region as
(6,8)
(10,0)
(0,12)
(0,0)
The objective function is

At (6,8)

At (10,0)

At (0,12)

At (0,0)

The minimum value is the least value for the objective function which is 0.