Forumulate LP Paper can be made from new wood pulp, from recycled office paper,
ID: 445856 • Letter: F
Question
Forumulate LP
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 IP to minimize the total cost for producing 100 tons of new paper.Explanation / Answer
Objective:
Minimize: 100X1 + 50X2 + 20X3
Subject to:
5X1 < 80
X1, X2, X3 > 0
Let X1 be the tons of new pulp, X2 be the tons of recycled office paper and X3 be the tons of recycled newsprint.