OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
7th Edition
ISBN: 9780077835439
Author: Roger G Schroeder, M. Johnny Rungtusanatham, Susan Meyer Goldstein
Publisher: McGraw-Hill Education
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Chapter 11, Problem 2P

The Ace Steel Mill estimates the demand for steel in millions of tons per year as follows:

Millions of Tons Probability
10 .10
12 .25
14 .30
16 .20
18 .15
  1. a. If capacity is set at 18 million tons, how much of a capacity cushion is there?
  2. b. What is the probability of idle capacity, and what is the average utilization of the plant at 18 million tons of capacity?
  3. c. If it costs $8 million per million tons of lost business and S8o million to build a million tons of capacity, how much capacity should be built to minimize total costs?
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1: Suppose the company has identified the following three possible demand scenarios: Demand (Units per year) Probability 25,000 0.3 60,000 0.4 100,000 0.3 1. If the capacity is set at 80,000, how much of a capacity cushion is here? What is the capacity utilization? 2. What is the probability of idle capacity if the capacity is 80,000? 3. If it costs $25 per units lost business and $50 to build a unit of capacity, how much capacity should be built to minimize total cost?
The Ace Steel Mill estimates the demand for steel in millions of tons per year as follows:Millions of Tons              Probability10                                          .1012                                          .2514                                          .3016                                           .2018                                            .15a. If capacity is set at 18 million tons, how much of a capacity cushion is there?b. What is the probability of idle capacity, and what is the average utilization of the plant at 18 million tons of capacity?c. If it costs $8 million per million tons of lost business and $80 million to build a million tons of capacity, how much capacity should be built to minimize total costs?
A biotech firm is considering abandoning its old plant, built 23 years ago, andconstructing a new facility that has 50% more square footage. The original cost of the old facility was $300,000, and its capacity in terms of standardizedproduction units is 250,000 units per year. The capacity of the new laboratoryis to be 400,000 units per year. During the past 23 years, costs of laboratoryconstruction have risen by an average of 5% per year. If the cost-capacity factor, based on square footage, is 0.80, what is the estimated cost of the newlaboratory?
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