Paper can be made from new wood pulp, from recycled office paper, or from recycl
ID: 445855 • Letter: P
Question
Paper can be made from new wood pulp, from recycled office paper, or from recycled newsprint. The costs for these sources are stated in Table 1. A paper manufacturer has four possible processes to produce paper. The raw materials necessary for each process are in Table 2. Currently, there are 80 tons of pulp available for purchase and no limit on recycled office paper and recycled newsprint for purchase. The manufacturer wishes to produce 100 tons of new paper while minimizing their total cost. Table 1: Cost of raw materials. Table 2: Tons of raw materials required to produce 1 ton of new paper for each process. Formulate an LP to minimize the total cost for producing 100 tons of new paper. Enter your formulation into MPL and solve the LP. Provide a managerial interpretation to your solution (i.e., What should the paper manufacturer do? How much will it cost?) How much should the manufacturer be willing to pay to obtain an additional ton of pulp? Use your MPL output to support your answer. Would a limit of 400 tons of recycled office paper available for purchase change the optimal solution? Use your MPL output to support your answer.Explanation / Answer
Formulate an LP to minimize the total cost for producing 100 tons of new paper
Enter your formulation into MPL and solve the LP.Provide a managerial interpretation to your solution (i.e, What should the paper manufacturer do? how much it will cost)
How much should the manufacturer be wiiling to pay to obtain an additional ton of pulp? Use your MPL output to support your answer.
Would a limit of 400 tons of recycled office paper available for purchase change the optimal solution?Use your MPL Output to support your anser.
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