The minimum value of the objective function C = 2x + y is 24
How to find the minimum value of the objective function
From the question, we have the following parameters that can be used in our computation:
C = 2x + y
Subject to the constraints:
2x + 3y ≥ 24
4x + y ≥ 38
x ≥ 0
y ≥ 0
The graph of the constraints is added as an attachment
From the graph, we have the following feasible points
(x, y) = (12, 0)
Recall that
C = 2x + y
So, we have
C = 2 * 12 + 0 = 24
Hence, the minimum value of the objective function is 24