Condo Construction Company is going to First NationalBank for a loan. At the present time, the bank is willing to lendCondo up to $1 million, with interest costs of 10%. Condobelieves that the amount of borrowed funds needed during thecurrent year is normally distributed, with a mean of $700,000and a standard deviation of $300,000. If Condo needs to borrowmore money during the year, the company will have to go toLouie the Loan Shark. The cost per dollar borrowed fromLouie is 25¢. To minimize expected interest costs for the year,how much money should Condo borrow from the bank?

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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Condo Construction Company is going to First National
Bank for a loan. At the present time, the bank is willing to lend
Condo up to $1 million, with interest costs of 10%. Condo
believes that the amount of borrowed funds needed during the
current year is normally distributed, with a mean of $700,000
and a standard deviation of $300,000. If Condo needs to borrow
more money during the year, the company will have to go to
Louie the Loan Shark. The cost per dollar borrowed from
Louie is 25¢. To minimize expected interest costs for the year,
how much money should Condo borrow from the bank?

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