of these units must be processed by Macon Controls produces three different types of control units used to protect industrial equipment from overheating. nachine 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 ime standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand orecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. D Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic 16,000 10,000 18,000 Pessimistic Expected . How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up o the next whole number.) Capacity Requirement (M) Expected 17,000 12,000 24,000 machines machines Optimistic 27,000 17,000 35,000

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)
Problem 42P
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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.
i
Demand Forecast
Component
A
B
C
Time Standard
Processing
(hr/unit)
0.04
0.20
0.05
Setup
(hr/lot)
1.0
4.4
8.5
Lot Size
(units/lot)
50
75
100
Demand Forecast
Pessimistic Expected
16,000
17,000
10,000
12,000
18,000
24,000
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
Capacity
Requirement (M)
Optimistic
27,000
17,000
35,000
machines
machines
machines
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. i Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected 16,000 17,000 10,000 12,000 18,000 24,000 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 Capacity Requirement (M) Optimistic 27,000 17,000 35,000 machines machines machines
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