Question: Please help me formulate an LP model showing all work for both questions please. Geppetto, a young woodcarver, manufactures two types of products: chairs and
Geppetto, a young woodcarver, manufactures two types of products: chairs and desks. A chair sells for $60 and uses $15 of raw materials. A desk sells for $80 and uses $30 of raw materials. Geppetto works 70 hours a week. The chairs and desks require four types of processing: preparation, cutting, assembling, and finishing. A chair requires 30 minutes of preparation, 2 hours of cutting, 1 hour of assembling, and 45 minutes of finishing. A desk requires 45 minutes of preparation, 2 hours of cutting, 90 minutes of assembling, and 1 hour of finishing. Assume Geppetto can obtain all the needed raw materials. Formulate an LP model to maximize Geppetto's profit for the' next week. Q3. (25 pts) After 20 years of hard work, Geppetto founded Pinocchio Co0. The company will produce luxury desks over the next 4 months. Forecasted demand and production costs over this time period are: Pinocchio Co. has a monthly production capacity of 300 desks. The company currently has 30 desks in inventory and has enough capacity to store up to 150 desks. The holding cost of keeping a desk in inventory for a month is $20. Formulate a Linear Programming model that minimizes the cost
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