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 ³ 0 x2 ³ 0

a. Use the graphical method to solve this model.

b. Incorporate this model into a spreadsheet and then use Solver to solve this model?