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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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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