=2.8. You are given the following linear programming model in algebraic form, where x1 and x2 are the decision variables and Z is the value of the overall measure of performance.

subject to Constraint on resource 1: 3x1 + x2 ≤ 9 (amount available)

Constraint on resource 2: x1 + 2x2 ≤ 8 (amount available)

and x1 ≥ 0 x2 ≥ 0

a. Identify the objective function, the functional constraints, and the nonnegativity constraints in this model.

E*

b. Incorporate this model into a spreadsheet.

c. Is (x1, x2) = (2, 1) a feasible solution?

d. Is (x1, x2) = (2, 3) a feasible solution?

e. Is (x1, x2) = (0, 5) a feasible solution?
E*

f. Use the Excel Solver to solve this model.