=2.14. Because of your knowledge of management science, your boss has asked you to analyze a product mix problem involving two products and two resources. The model is shown below in algebraic form, where x1 and x2 are the production rates for the two products and P is the total profit.

Maximize P = 3x1 + 2x2 subject to x1 + x2 ≤ 8 (resource 1)

2x1 + x2 ≤ 10 (resource 2)

and x1 ≥ 0 x2 ≥ 0

a. Use the graphical method to solve this model.