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Assume the demand for a company's drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost $16x. Each unit of Wozac is sold for $3. Each unit of Wozac produced incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity. a. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments. 80,000 b. Determine how large a Wozac plant the company should build to maximize its NPV over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments, and assume a 10% discount rate. 40,000

Assume the demand for a company's drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost $16x. Each unit of Wozac is sold for $3. Each unit of Wozac produced incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity. a. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments. 80,000 b. Determine how large a Wozac plant the company should build to maximize its NPV over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments, and assume a 10% discount rate. 40,000

Practical Management Science
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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Assume the demand for a company's drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost $16x. Each unit of Wozac is sold for $3. Each unit of Wozac produced incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity. a. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments. 80,000 b. Determine how large a Wozac plant the company should build to maximize its NPV over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments, and assume a 10% discount rate. 40,000
Transcribed Image Text:Assume the demand for a company's drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost $16x. Each unit of Wozac is sold for $3. Each unit of Wozac produced incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity. a. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments. 80,000 b. Determine how large a Wozac plant the company should build to maximize its NPV over the next 10 years. Consider a capacity range from 40,000 to 80,000, at 5,000 unit increments, and assume a 10% discount rate. 40,000
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