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 20 10-speed bikes daily. It costs $1000/day to operate Factory X and $800/day to operate Factory Y. An order for 80 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 Factory Y should be operated days. days. What is the minimum cost? (Give your answer correct to the nearest dollar.)
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 20 10-speed bikes daily. It costs $1000/day to operate Factory X and $800/day to operate Factory Y. An order for 80 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 Factory Y should be operated days. days. What is the minimum cost? (Give your answer correct to the nearest dollar.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 20 10-speed bikes daily. It costs $1000/day to
operate Factory X and $800/day to operate Factory Y. An order for 80 3-speed bikes and 140 10-speed bikes has just arrived.
How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.)
Factory X should be operated
days.
Factory Y should be operated
days.
What is the minimum cost? (Give your answer correct to the nearest dollar.)
2$
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