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Problem 1:1 An automobile manufacturer produces three car models. Each car requires a certain amount of factory time to be manufactured and yields a certain profit. There is a fixed amount of factory time already scheduled for next week. To meet the market demands, the affiliated dealers have placed orders of the minimum number of cars of each model that they expect to receive. Suppose that the car models are known at the factory as T, C and L, and that 1200 worker-hours are available. The factory time required per car (in worker-hours), profit per car (in dollars), and dealer orders (in cars) for each model are as follows. Formulate an optimization problem that can be used to maximize the total profit. Car Time Profit Orders 10 200 10 C 20 500 20 L 30 700 15

Problem 1:1 An automobile manufacturer produces three car models. Each car requires a certain amount of factory time to be manufactured and yields a certain profit. There is a fixed amount of factory time already scheduled for next week. To meet the market demands, the affiliated dealers have placed orders of the minimum number of cars of each model that they expect to receive. Suppose that the car models are known at the factory as T, C and L, and that 1200 worker-hours are available. The factory time required per car (in worker-hours), profit per car (in dollars), and dealer orders (in cars) for each model are as follows. Formulate an optimization problem that can be used to maximize the total profit. Car Time Profit Orders 10 200 10 C 20 500 20 L 30 700 15

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Problem 1:1 An automobile manufacturer produces three car models. Each car requires a certain amount of factory time to be manufactured and yields a certain profit. There is a fixed amount of factory time already scheduled for next week. To meet the market demands, the affiliated dealers have placed orders of the minimum number of cars of each model that they expect to receive. Suppose that the car models are known at the factory as T, C and L, and that 1200 worker-hours are available. The factory time required per car (in worker-hours), profit per car (in dollars), and dealer orders (in cars) for each model are as follows. Formulate an optimization problem that can be used to maximize the total profit. Car Time Profit Orders T 10 200 10 20 500 20 L 30 700 15
Transcribed Image Text:Problem 1:1 An automobile manufacturer produces three car models. Each car requires a certain amount of factory time to be manufactured and yields a certain profit. There is a fixed amount of factory time already scheduled for next week. To meet the market demands, the affiliated dealers have placed orders of the minimum number of cars of each model that they expect to receive. Suppose that the car models are known at the factory as T, C and L, and that 1200 worker-hours are available. The factory time required per car (in worker-hours), profit per car (in dollars), and dealer orders (in cars) for each model are as follows. Formulate an optimization problem that can be used to maximize the total profit. Car Time Profit Orders T 10 200 10 20 500 20 L 30 700 15
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