To meet holiday demand, Penny’s Pie Shop requires a pro-duction line that is capable of producing 50 pecan pies perweek, while operating only 40 hours per week. There areonly four steps required to produce a single pecan pie withrespective processing times of 5 minutes, 5 minutes, 45 min-utes, and 15 minutes.a. What should be the line’s cycle time?b. What is the smallest number of workstations Penny couldhope for in designing the line considering this cycletime?c. Suppose that Penny finds a solution that requires onlyfour stations. What would be the efficiency of this line?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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To meet holiday demand, Penny’s Pie Shop requires a pro-
duction line that is capable of producing 50 pecan pies per
week, while operating only 40 hours per week. There are
only four steps required to produce a single pecan pie with
respective processing times of 5 minutes, 5 minutes, 45 min-
utes, and 15 minutes.
a. What should be the line’s cycle time?
b. What is the smallest number of workstations Penny could
hope for in designing the line considering this cycle
time?
c. Suppose that Penny finds a solution that requires only
four stations. What would be the efficiency of this line?

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