you are given the following linear programming model in algebraic form, where X sub one and X sub two 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<5 (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 non-negativity 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1)

you are given the following linear programming model in algebraic form, where X sub one and X sub two 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<5 (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 non-negativity 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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