Up, Up, and Away is a producer of kites and wind socks.Relevant data on a bottleneck operation in the shop for theupcoming fiscal year are given in the following table:Item Kites Wind SocksDemand forecast 30,000 units/year 12,000 units/yearLot size 20 units 70 unitsStandard processing time 0.3 hour/unit 1.0 hour/unitStandard setup time 3.0 hours/lot 4.0 hours/lotThe shop works two shifts per day, 8 hours per shift, 200 daysper year. Currently, the company operates four machines,and desires a 25 percent capacity cushion. How many ma-chines should be purchased to meet the upcoming year’s de-mand without resorting to any short-term capacity solutions?

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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Up, Up, and Away is a producer of kites and wind socks.
Relevant data on a bottleneck operation in the shop for the
upcoming fiscal year are given in the following table:
Item Kites Wind Socks
Demand forecast 30,000 units/year 12,000 units/year
Lot size 20 units 70 units
Standard processing time 0.3 hour/unit 1.0 hour/unit
Standard setup time 3.0 hours/lot 4.0 hours/lot
The shop works two shifts per day, 8 hours per shift, 200 days
per year. Currently, the company operates four machines,
and desires a 25 percent capacity cushion. How many ma-
chines should be purchased to meet the upcoming year’s de-
mand without resorting to any short-term capacity solutions?

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