An air conditioner company must satisfy the demands of the customers for air conditioners on time in the upcoming months: June: 300; July: 400; August: 500. Two alternative cities exist for the production of air conditioners. They can either be produced in İzmir or Muğla. The required skilled labor hour to manufacture an air conditioner is 1.45 hours in Izmir and 2.05 hours in Muğla. However, the production costs are different, too. The production cost of an air conditioner in Izmir is $500 and $485 in Muğla. During the summer (June, July, August) 430 hours of skilled labor are accessible in both cities. Besides, an inventory cost exists: it takes $10 to carry/hold an air conditioner in inventory for a month. The company has 215 air conditioners on hand (in stock) at the beginning of June. Formulate a Linear Programming model for the aforementioned problem such that its solution will explain to the company how to minimize the total cost of satisfying the demand requirements for the upcoming 3 months.
An air conditioner company must satisfy the demands of the customers for air conditioners on time in the upcoming months: June: 300; July: 400; August: 500. Two alternative cities exist for the production of air conditioners. They can either be produced in İzmir or Muğla. The required skilled labor hour to manufacture an air conditioner is 1.45 hours in Izmir and 2.05 hours in Muğla. However, the production costs are different, too. The production cost of an air conditioner in Izmir is $500 and $485 in Muğla. During the summer (June, July, August) 430 hours of skilled labor are accessible in both cities. Besides, an inventory cost exists: it takes $10 to carry/hold an air conditioner in inventory for a month. The company has 215 air conditioners on hand (in stock) at the beginning of June. Formulate a Linear Programming model for the aforementioned problem such that its solution will explain to the company how to minimize the total cost of satisfying the demand requirements for the upcoming 3 months.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 4SC: If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c...
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