Answer:
The minimum value is C=0
Step-by-step 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
[tex]C = x + y[/tex]
At (6,8)
[tex]C = 6 + 8 = 14[/tex]
At (10,0)
[tex]C = 10 + 0 = 10[/tex]
At (0,12)
[tex]C = 0 + 12 = 12[/tex]
At (0,0)
[tex]C = 0 + 0 = 0[/tex]
The minimum value is the least value for the objective function which is 0.
