Final answer:
This is a linear programming problem with given objective function and constraints to find the minimum value.
Step-by-step explanation:
The given problem is a linear programming problem with the objective function to minimize the expression 2A + 3B, subject to the constraints:
- 1A + 4B ≤ 22
- 2A + 1B ≥ 9
- 3A + 1.5B ≤ 24
- -2A + 6B ≥ -2
- A, B ≥ 0
Using these constraints, we can graph the feasible region on a coordinate plane and find the corner points to determine the minimum value for the objective function. The solution will give the values of A and B that minimize the expression 2A + 3B within the feasible region.