Consider the following linear programming problem:
MIN Z = 3x1 + 2x2
Subject to: 2x1 + 3x2 ≥ 12
5x1 + 8x2 ≥ 37
x1, x2 ≥ 0
What is minimum Z and the value of x1 and x2 at the optimal solution?
Please show the steps used to solve the problem and do not use excel.