Final answer:
To find the minimum value of C = 7x + 8y, we need to find the values of x and y that satisfy the given constraints.
Step-by-step explanation:
To find the minimum value of C = 7x + 8y, we need to find the values of x and y that satisfy the given constraints.
The constraints are:
- 2x + y ≥ 8
- x + y ≥ 6
- x ≥ 0
- y ≥ 0
We can solve this problem using the method of linear programming.
The minimum value of C occurs at the intersection of the feasible region defined by the constraints. By solving the system of inequalities, we find that the minimum value of C is 32, which corresponds to option A.