Question: Consider the following problem. Maximize Z = 2 x1 + 6 x2 + 9 x3 Subject to x1 + x3 3 (resource 1) x2 +

Consider the following problem.

Maximize Z = 2 x1 + 6 x2 + 9 x3

Subject to

x1 + x3 3 (resource 1) x2 + 2 x3 5 (resource 2) and x1 0, x2 0, x3 0

(a) Construct the dual problem for this primal problem. (b) Solve the problem graphically using IOR Tutorial. Use this solution to identify the shadow prices for the resources in the primal problem. Make sure you describe the economic interpretation of the shadow prices. (c) Confirm your results from (b) by solving the primal problem using the simplex method and then identifying the shadow prices. Use Excel Solver.

Provide me the solutions with excel spreadsheet and solver parameters

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