3. The manager at Goodstone Tires, a distributor of tires in Illi- nois, uses a continuous review policy to manage inventory. The manager currently orders 10,000 tires when the inven- tory of tires drops to 6,000. Weekly demand for tires is nor- mally distributed, with a mean of 2,000 and a standard deviation of 500. The replenishment lead time for tires is two weeks. Each tire costs Goodstone $40, and the company sells each tire for $80. Goodstone incurs a holding cost of 25 per- cent. How much safety inventory does Goodstone currently carry? At what cost of understocking is the manager's current inventory policy justified? How much safety inventory should Goodstone carry if the cost of understocking is $80 per tire in lost current and future margin?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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How do I do question 3?

**Exercises**

1. **Green Thumb**, a manufacturer of lawn care equipment, has introduced a new product. Each unit costs $150 to manufacture, and the introductory price is $200. At this price, the anticipated demand is normally distributed, with a mean of μ = 100 and a standard deviation of σ = 40. Any unsold units at the end of the season are unlikely to be valuable and will be disposed of in a post-season sale for $50 each. It costs $20 to hold a unit in inventory for the entire season. How many units should Green Thumb manufacture for sale? What is the expected profit from this policy? On average, how many customers does Green Thumb expect to turn away because of stocking out?

2. The general manager at Green Thumb decides to conduct extensive market research for its new product. At the end of the market research, the manager estimates demand to be normally distributed, with a mean of μ = 100 and a standard deviation of σ = 15. How should Green Thumb alter its production plans in Exercise 1 as a result of the market research? How much increase in profit is it likely to observe? How does the improved forecast affect the demand lost by Green Thumb because of understocking? Use cost and price information from Exercise 1.

3. The manager at **Goodstone Tires**, a distributor of tires in Illinois, uses a continuous review policy to manage inventory. The manager currently orders 10,000 tires when the inventory of tires drops to 6,000. Weekly demand for tires is normally distributed, with a mean of 2,000 and a standard deviation of 500. The replenishment lead time for tires is two weeks. Each tire costs Goodstone $40, and the company sells each tire for $80. Goodstone incurs a holding cost of 25 percent. How much safety inventory does Goodstone currently carry? At what level of understocking is the manager's current inventory policy justified? How much safety inventory should Goodstone carry if the cost of understocking is $80 per tire in lost current and future margin?

4. **Champion** manufactures winter fleece jackets for sale in the United States. Demand for jackets during the season is normally distributed, with a mean of 20,000 and a standard deviation of 10,000. Each jacket sells for $60 and costs $30 to produce. Any leftover jackets at the end of the season are sold for $25 at the year
Transcribed Image Text:**Exercises** 1. **Green Thumb**, a manufacturer of lawn care equipment, has introduced a new product. Each unit costs $150 to manufacture, and the introductory price is $200. At this price, the anticipated demand is normally distributed, with a mean of μ = 100 and a standard deviation of σ = 40. Any unsold units at the end of the season are unlikely to be valuable and will be disposed of in a post-season sale for $50 each. It costs $20 to hold a unit in inventory for the entire season. How many units should Green Thumb manufacture for sale? What is the expected profit from this policy? On average, how many customers does Green Thumb expect to turn away because of stocking out? 2. The general manager at Green Thumb decides to conduct extensive market research for its new product. At the end of the market research, the manager estimates demand to be normally distributed, with a mean of μ = 100 and a standard deviation of σ = 15. How should Green Thumb alter its production plans in Exercise 1 as a result of the market research? How much increase in profit is it likely to observe? How does the improved forecast affect the demand lost by Green Thumb because of understocking? Use cost and price information from Exercise 1. 3. The manager at **Goodstone Tires**, a distributor of tires in Illinois, uses a continuous review policy to manage inventory. The manager currently orders 10,000 tires when the inventory of tires drops to 6,000. Weekly demand for tires is normally distributed, with a mean of 2,000 and a standard deviation of 500. The replenishment lead time for tires is two weeks. Each tire costs Goodstone $40, and the company sells each tire for $80. Goodstone incurs a holding cost of 25 percent. How much safety inventory does Goodstone currently carry? At what level of understocking is the manager's current inventory policy justified? How much safety inventory should Goodstone carry if the cost of understocking is $80 per tire in lost current and future margin? 4. **Champion** manufactures winter fleece jackets for sale in the United States. Demand for jackets during the season is normally distributed, with a mean of 20,000 and a standard deviation of 10,000. Each jacket sells for $60 and costs $30 to produce. Any leftover jackets at the end of the season are sold for $25 at the year
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