Question: 2. Consider the following problem: (5 points) Maximize Z=6x1+8x2 subject to 5x1+2x220x1+2x210x10,x20. (a) Construct the dual problem for this primal problem. (b) Solve both the

2. Consider the following problem: (5 points) Maximize Z=6x1+8x2 subject to 5x1+2x220x1+2x210x10,x20. (a) Construct the dual problem for this primal problem. (b) Solve both the primal problem and the dual problem graphically. Identify the corner-point feasible (CPF) solutions and corner-point infeasible (CP1) solutions for both problems. Calculate the objective function values for all these solutions. Verify the weak duality and strong duality properties hold for these solutions. 2. Consider the following problem: (5 points) Maximize Z=6x1+8x2 subject to 5x1+2x220x1+2x210x10,x20. (a) Construct the dual problem for this primal problem. (b) Solve both the primal problem and the dual problem graphically. Identify the corner-point feasible (CPF) solutions and corner-point infeasible (CP1) solutions for both problems. Calculate the objective function values for all these solutions. Verify the weak duality and strong duality properties hold for these solutions

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