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 30 percent capacity cushion is best. Time Standard Demand Forecast Processing Lot Size Setup (hr/lot) Component Pessimistic Expected Optimistic (hr/unit) (units/lot) 16,000 11,000 16,000 16,000 12,000 23,000 27,000 17,000 A 0.05 1.0 50 в 0.30 4.6 80 0.05 8.3 100 35,000 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.) Сарacity Demand Forecast Requirement (M) Pessimistic 16000 machines Expected machines Optimistic machines
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 30 percent capacity cushion is best. Time Standard Demand Forecast Processing Lot Size Setup (hr/lot) Component Pessimistic Expected Optimistic (hr/unit) (units/lot) 16,000 11,000 16,000 16,000 12,000 23,000 27,000 17,000 A 0.05 1.0 50 в 0.30 4.6 80 0.05 8.3 100 35,000 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.) Сарacity Demand Forecast Requirement (M) Pessimistic 16000 machines Expected machines Optimistic machines
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:**Macon Controls Production Analysis**
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 as the process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Due to demand uncertainties, the operations manager obtained three demand forecasts: pessimistic, expected, and optimistic. The manager believes a 30 percent capacity cushion is best.
**Table: Time Standards and Demand Forecasts**
| Component | Processing Time (hr/unit) | Setup Time (hr/lot) | Lot Size (units/lot) | Pessimistic Demand | Expected Demand | Optimistic Demand |
|-----------|---------------------------|---------------------|----------------------|--------------------|-----------------|------------------|
| A | 0.05 | 1.0 | 50 | 16,000 | 16,000 | 27,000 |
| B | 0.30 | 4.6 | 80 | 11,000 | 12,000 | 17,000 |
| C | 0.05 | 8.3 | 100 | 16,000 | 23,000 | 35,000 |
**Analysis Question:**
a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Responses are rounded up to the next whole number.)
**Capacity Requirement Calculation**
The demand forecast in terms of machines is represented as follows:
- **Pessimistic Demand Forecast:** 16,000 units requiring machines
- **Expected Demand Forecast:** (Value not provided in the image)
- **Optimistic Demand Forecast:** (Value not provided in the image)
This setup helps determine the number of machines needed to accommodate different levels of demand forecasts while considering the operational time and capacity cushion.
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