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
= 3x_{1} + 2x_{2}

_{subject to}

Constraint on resource 1:
3x1 + x_{2} < 9 (amount
available)

Constraint on resource
2: x_{1} + 2x_{2} <
8 (amount available) and

x_{1} > 0
x_{2}> 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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Objective Function Z = 3X1+2X2 Functional Constraints 3X1+X2<=9   X1+2X2<=8 Non- Negativity Constraints X1>=0,X2>=0 Answer a:             Answer b & f: Steps involved in c ... See the full answer