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Tuff Rider, Inc. manufactures touring bikes and mountain bikes in a variety of f

ID: 445132 • Letter: T

Question

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

5,000 units / year

10,000 units / year

Lot Size

100 units

100 units

Standard Processing Time

¼ hour / unit

½ hour / unit

Standard Setup Time

2 hour / lot

3 hour / lot

The shop currently works eight hours a day, five days a week, 50 weeks a year. It operates 5 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?

Item

Touring

Mountain

Demand Forecast

5,000 units / year

10,000 units / year

Lot Size

100 units

100 units

Standard Processing Time

¼ hour / unit

½ hour / unit

Standard Setup Time

2 hour / lot

3 hour / lot

Explanation / Answer

Touring:

Annual demand (D) = 5000 units/year

Lot size (Q) = 100 units

Processing time (p) = 0.25 hours/unit

Set up time (s) = 2 hours/lot

Mountain:

Annual demand (D)= 10,000 units/year

Lot size (Q)=100 units

Processing time (p) = 0.5 hours/unit

Setup time (s) = 3 hours/lot

No. of workstations or no. of input units for each year (M),

M = [[ D*p +( D/Q)*s] product 1 + [D*p +( D/Q)*s] product 2 ] / N ( 1 - C/100), wher N = total no. of hours/year during which the process operates and C = capacity cushion 15 %

put values in this equation,

M= [ [ 5000*0.25+(5000/100) *2] touring + [10,000 *0.5 + (10,000/100) * 3] Mountain ] / [(50 * 5* 8) * ( 1- 15/100)]

= (1350 + 5300) / 1700

=3.91

M = 4

No. of workstations required next year = 4

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