Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. Component A B C Time Standard Processing (hr/unit) 0.04 0.30 0.05 Setup (hr/lot) 1.0 4.2 8.7 Lot Size (units/lot) 40 80 120 Demand Forecast Pessimistic Expected Optimistic Pessimistic 14,000 10,000 17,000 Demand Forecast a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next whole number.) Capacity Requirement (M) machines machines machines Expected 17,000 13,000 23,000 Optimistic 25,000 18,000 40,000

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)
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Macon Controls produces three different types of control units used to protect industrial equipment from overheating.
Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant
operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at
the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations
manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25
percent capacity cushion is best.
Component
A
B
C
ample
Time Standard
Processing
(hr/unit)
0.04
0.30
0.05
Setup
(hr/lot)
1.0
4.2
8.7
Get more help.
Lot Size
(units/lot)
40
80
120
Demand Forecast
a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and
maximum (Optimistic) demand? (Enter your responses rounded up to the next whole number.)
Pessimistic
Expected
Optimistic
Pessimistic
14,000
10,000
17,000
Demand Forecast
Capacity
Requirement (M)
machines
machines
machines
Expected
17,000
13,000
23,000
Optimistic
25,000
18,000
40,000
Clear all
Check answer
Transcribed Image Text:Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. Component A B C ample Time Standard Processing (hr/unit) 0.04 0.30 0.05 Setup (hr/lot) 1.0 4.2 8.7 Get more help. Lot Size (units/lot) 40 80 120 Demand Forecast a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next whole number.) Pessimistic Expected Optimistic Pessimistic 14,000 10,000 17,000 Demand Forecast Capacity Requirement (M) machines machines machines Expected 17,000 13,000 23,000 Optimistic 25,000 18,000 40,000 Clear all Check answer
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