Problem 1 Knott's Industries manufactures three models of backyard swings: Standard, Deluxe, and Premium. Currently it has five identical swing-set-making machines. Which are operated 8 hours each day, 5 days a week, 50 weeks per year. A capacity cushion of 18% is desired. The following information is also known: Lot Size (units/lot) Model Time Annual Demand Forecast Processing (min/unit) Setup (min/lot) Pessimistic Expected Pessimistic Standard 8. 30 50 15,000 18,000 28,000 Deluxe 10 40 40 12,000 15,000 23,000 Premium 14 50 30 6,000 12,000 14,000 a. Does Knott's have sufficient capacity to meet the minimum (pessimistic) demand, the expected demand, and the maximum (optimistic) demand? If not, how many more machines are needed in each case? b. If Knott's was able to reduce the setup time for all three models by 50% and triple the lot size for each model by implementing process improvements, would there be enough current capacity to produce 15,000 units of each type of swing? Show your work and explain. c. What is the maximum capacity cushion that is necessary for Knott to have enough capacity to meet the expected demand?

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Problem 1
Knott's Industries manufactures three models of backyard
swings: Standard, Deluxe, and Premium. Currently it has five
identical swing-set-making machines. Which are operated 8
hours each day, 5 days a week, 50 weeks per year. A capacity
cushion of 18% is desired. The following information is also
known:
Lot Size
Model
Time
(units/lot)
Annual Demand Forecast
Processing
(min/unit)
Setup
(min/lot)
Pessimistic Expected Pessimistic
18,000
Standard
8.
30
50
15,000
28,000
Deluxe
10
40
40
12,000
15,000
23,000
Premium
14
50
30
6,000
12,000
14,000
a. Does Knott's have sufficient capacity to meet the minimum
(pessimistic) demand, the expected demand, and the
maximum (optimistic) demand? If not, how many more
machines are needed in each case?
b. If Knott's was able to reduce the setup time for all three
models by 50% and triple the lot size for each model by
implementing process improvements, would there be
enough current capacity to produce 15,000 units of each
type of swing? Show your work and explain.
c. What is the maximum capacity cushion that is necessary for
Knott to have enough capacity to meet the expected
demand?
Transcribed Image Text:Problem 1 Knott's Industries manufactures three models of backyard swings: Standard, Deluxe, and Premium. Currently it has five identical swing-set-making machines. Which are operated 8 hours each day, 5 days a week, 50 weeks per year. A capacity cushion of 18% is desired. The following information is also known: Lot Size Model Time (units/lot) Annual Demand Forecast Processing (min/unit) Setup (min/lot) Pessimistic Expected Pessimistic 18,000 Standard 8. 30 50 15,000 28,000 Deluxe 10 40 40 12,000 15,000 23,000 Premium 14 50 30 6,000 12,000 14,000 a. Does Knott's have sufficient capacity to meet the minimum (pessimistic) demand, the expected demand, and the maximum (optimistic) demand? If not, how many more machines are needed in each case? b. If Knott's was able to reduce the setup time for all three models by 50% and triple the lot size for each model by implementing process improvements, would there be enough current capacity to produce 15,000 units of each type of swing? Show your work and explain. c. What is the maximum capacity cushion that is necessary for Knott to have enough capacity to meet the expected demand?
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