Answer:
minimum value = 20
Explanation:
A sketch of the constraints is required, otherwise awkward to visualise.
However this has an unbounded feasible region
With vertices at (0, 38), (12, 0) and (9, 2), intersection of inequalities
Evaluate the objective function at each vertex to determine minimum
(0, 38) → C = 2(0) + 38 = 0 + 38 = 38
(12, 0) → C = 2(12) + 0 = 24
(9, 2) → C = 2(9) + 2 = 18 + 2 = 20 ← minimum value
Thus minimum value is C = 20 when x = 9 and y = 2