The minimum value of the objective function C = x + 3y is 10
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 = x + 3y
Subject to:
9x + 2y > 3
5x + 3y > 14
x > 0
y > 0
The graph of the constraints is added as an attachment
From the graph, we have the following feasible point
(x, y) = (1, 3)
Recall that
C = x + 3y
So, we have
C = 1 + 3 * 3
Evaluate
C = 10
Hence, the minimum value of the objective function is 10