Tuff-Rider, Inc., manufactures touring bikes and mountain bikes in a variety of frame​ sizes, colors, and component combinations. Identical bicycles are produced in lots of 110. The projected​ demand, lot​ size, and time standards are shown in the following​ table: Item Touring Mountain Demand forecast 4,000 ​units/year 12,000 ​units/year Lot size 100 units 110 units Standard processing time 0.25 ​hour/unit 0.50 ​hour/unit Standard setup time 2​ hours/lot 3​ hours/lot The shop currently works 8 hours a​ day, 5 days a​ week, 52 weeks a year. It operates five​ workstations, each producing one bicycle in the time shown in the table. The shop maintains a 15 percent capacity cushion. How many workstations will be required next year to meet expected demand without using overtime and without decreasing the​ firm's current capacity​ cushion? The number of workstations required next year is ?​(Enter your response rounded up to the next whole number.​)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Tuff-Rider, Inc., manufactures touring bikes and mountain bikes in a variety of frame​ sizes, colors, and component combinations. Identical bicycles are produced in lots of 110. The projected​ demand, lot​ size, and time standards are shown in the following​ table:

Item

Touring

Mountain

Demand forecast

4,000

​units/year

12,000

​units/year

Lot size

100

units

110

units

Standard processing time

0.25

​hour/unit

0.50

​hour/unit

Standard setup time

2​ hours/lot

3​ hours/lot

The shop currently works 8 hours a​ day, 5 days a​ week, 52 weeks a year. It operates five​ workstations, each producing one bicycle in the time shown in the table. The shop maintains a 15 percent capacity cushion. How many workstations will be required next year to meet expected demand without using overtime and without decreasing the​ firm's current capacity​ cushion?

The number of workstations required next year is ?​(Enter your response rounded up to the next whole number.​)

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