Question: You are given the following linear programming model in algebraic form, where x 1 and x 2 are the decision variables and Z is the

  1. 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.

MaximizeZ = 6 x1 + 4x2

subject to

Constraint on resource 1: 6x1 + 2x2 18 (amount available)

Constraint on resource 2: 2x1 + 4x2 16 (amount available)

  1. Identify the objective function, the functional constraints in this model.
  2. Is (x1, x2) = (4, 2) a feasible solution?
  3. Is (x1, x2) = (4, 6) a feasible solution?
  4. Is (x1, x2) = (0, 10) a feasible solution?
  5. Use Solver to solve this model.

Z = , x1 = , x2 = , s1 = , s2 =

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