Solve this problem using the simplex method. Super Speedy Bike Company makes 3-speed and 10-speed bicycles at two different factories. Factory X produces 16 3-speed and 20 10-speed bikes in one day while Factory Y produces 12 3-speed and 35 10-speed bikes daily. It costs $1000/day to operate Factory X and $800/day to operate Factory Y. An order for 96 3-speed bikes and 140 10-speed bikes has just arrived. How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.) Factory X should be operated days. Factory Y should be operated days. What is the minimum cost? (Give your answer correct to the nearest dollar.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Solve this problem using the simplex method.
Super Speedy Bike Company makes 3-speed and 10-speed bicycles at two different factories. Factory X produces 16 3-speed and 20 10-speed bikes in one day while Factory Y produces 12 3-speed and 35 10-speed bikes daily. It costs $1000/day to
operate Factory X and $800/day to operate Factory Y. An order for 96 3-speed bikes and 140 10-speed bikes has just arrived.
How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.)
Factory X should be operated
days.
Factory Y should be operated
days.
What is the minimum cost? (Give your answer correct to the nearest dollar.)
2$
Transcribed Image Text:Solve this problem using the simplex method. Super Speedy Bike Company makes 3-speed and 10-speed bicycles at two different factories. Factory X produces 16 3-speed and 20 10-speed bikes in one day while Factory Y produces 12 3-speed and 35 10-speed bikes daily. It costs $1000/day to operate Factory X and $800/day to operate Factory Y. An order for 96 3-speed bikes and 140 10-speed bikes has just arrived. How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.) Factory X should be operated days. Factory Y should be operated days. What is the minimum cost? (Give your answer correct to the nearest dollar.) 2$
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