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3. Consider the following problem MaxZ=2x1+6x2+9x3Subjecttox1+x33x2+2x35x10,x20,andx30Resource1Resource2 a) Construct the dual problem for this primal problem b) Solve the dual problem by hand, use the solution

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3. Consider the following problem MaxZ=2x1+6x2+9x3Subjecttox1+x33x2+2x35x10,x20,andx30Resource1Resource2 a) Construct the dual problem for this primal problem b) Solve the dual problem by hand, use the solution to Identify the shadow prices for the resources in the primal problem c) Confirm your results from part(b) by solving the primal problem automatically by the simplex method and then identifying the shadow prices

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