# Question Solved1 Answer2.8. 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. Maximize Z = 3x1 + 2x2 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 con- straints, and the nonnegativity constraints in this model. 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? f. Use Solver to solve this model. 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.

Maximize Z = 3x1 + 2x2

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 con- straints, and the nonnegativity constraints in this model.

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?

f. Use Solver to solve this model.

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