Metal Fabricators, Inc. manufactures gas grill tanks, Model # 1420, for four original equipment manufacturers (OEMs). Demand is forecast to be as follows: Quarter 1 = 2,800 tanks, Quarter 2 = 3,400, Quarter 3 = 3,600, and Quarter 4 = 2,900. Due to a hedging program for sheet steel and increases in international tariffs, production cost per quarter vary as follows: Quarter 1 = $23.50 per tank, Quarter 2 = $28.00, Quarter 3 = $25.90, and Quarter 4 = $29.00. Due to production contracts with the OEMs, no shortages are allowed. Beginning inventory for Quarter 1 is 300 tanks. At the end of each quarter, inventory holding costs are $4.25 per tank. a. Formulate the problem as a linear programming model (see Supplement D).  b. Solve the model in (a) using Excel Solver.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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SOLVE USING EXCEL

 

Metal Fabricators, Inc. manufactures gas grill tanks, Model # 1420, for four original equipment manufacturers (OEMs). Demand is forecast to be as follows: Quarter 1 = 2,800 tanks, Quarter 2 = 3,400, Quarter 3 = 3,600, and Quarter 4 = 2,900. Due to a hedging program for sheet steel and increases in international tariffs, production cost per quarter vary as follows: Quarter 1 = $23.50 per tank, Quarter 2 = $28.00, Quarter 3 = $25.90, and Quarter 4 = $29.00. Due to production contracts with the OEMs, no shortages are allowed. Beginning inventory for Quarter 1 is 300 tanks. At the end of each quarter, inventory holding costs are $4.25 per tank.

a. Formulate the problem as a linear programming model (see Supplement D). 

b. Solve the model in (a) using Excel Solver.

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