CST 11 Math - October 17,2016

Major Assignment: Optimization Problems --25

NAME: Section: MCU504: --Duration: 50 minutes

Problem 1 (10 points)Elisabeth decided to work at two jobs. Her totalweekly work hours cannot exceed 50 hours. Her ~Owork hours at MacDonald must be at least 75'Yoof her total weekly work hours. She must work a 40minimum of 10 hours at Home Depot. She earns$12/h at MacDonald and $14/h at Home Depot. 30

How many hours will she have to work atMacDonald and at Home Depot to maximize her· 10weekly income salary?

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Problem 2 (15 points)To be more competitive in the aircraft manufacturing business, Bombardier must build airplanes asquickly as possible in the next business quarter. There are two types of airplanes, the Global 7000and the Global 8000. To meet its goal, the companywill have to spend a minimum of $ 400 milliondollars. A Global 7000 costs $30 million to build and a Global 8000, $20 million. They mustmanufacture at most twice as many Global 7000 airplanes as Global 8000 airplanes. The number ofGlobal 8000 airplanes cannot exceed 11. The company must build less than 25 airplanes. It takes 4weeks to build F Global 8000 airplane and 6 weeks for a Global 7000.

Part 1: (10 points)If x represents the number of Global 7000 airplanes and y.: the number of Global 8000 airplanes,determine the number of airplanes of each type to be build in order for Bombardier to attain itstarget objective. (15 points) .• J _ 20

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MCU504 Major Assignment: Optimization Problems, Oct17, 2016 Page 3

Part 2: (5 points)If a Global 7000 airplane sells for 72.8 million dollars and a Global 8000 for 57 million dollars,determine the total minimum profit that Bombardier will make as well as the number of Global 7000and Global 8000 airplanes to be built in this case.

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MCU504 Major Assignment: Optimization Problems, Oet17, 2016 Page 4