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 100. The projected demand, lot size, and time standards are shown in the following table: Item Touring Mountain Demand forecast Lot size Standard processing time Standard setup time 5,000 units/year 100 units .25 hour/unit 2 hours/lot 10,000 units/year 100 units .50 hour/unit 3 hours/lot The shop currently works 8 hours a day, 5 days a week, 50 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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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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 100. The projected demand, lot size, and time standards are shown in the following table:

Item Touring Mountain

Demand forecast

Lot size

Standard processing time

Standard setup time

5,000 units/year

100 units

.25 hour/unit

2 hours/lot

10,000 units/year

100 units

.50 hour/unit

3 hours/lot

The shop currently works 8 hours a day, 5 days a week, 50 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?

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