Read the following problem description, and informational table, and formulate a
ID: 3010558 • Letter: R
Question
Read the following problem description, and informational table, and formulate an LP for it. Be sure to define your variables. Do NOT solve. A local manufacturing firm produces four different metal products, each of which must be machine, polished, and assembled. The specific time requirements (in hours) for each product are as follows: The firm has available to it on a weekly basis 480 hours of machine time, 400 hours of polishing time, and 400 hours of assembly time. The unit profits on the products are $6, $4, $6, and $8, respectively. The firm has a contract with a distributor to provide 50 units of product I and 100 units of any combination of products II and III each week. Through other customers, the firm can sell each week as many units of products I. II, and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Assume that any unfinished pieces can be completed the following week. Again, formulate but do not solve.Explanation / Answer
machining=480*(3*6+4*1+8*2)=18240
polishing=400(2*6+1*4+1*8)=9600
assembling=400(2*6+1*4+1*8)=9600
total profit=18240+9600+9600=37440/25=14976
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