Motorama TV estimates the annual demand for its TVsis (and will be in the future) normally distributed, with amean of 6,000 and standard deviation of 2,000. Motorama must determine how much production capacity it shouldhave. The cost of building enough production capacity tomake 1,000 sets per year is $1,000,000 (equivalent in presentvalue terms to a cost of $100,000 per year forever). Exclusiveof the cost of building capacity, each set sold contributes$250 to profits. How much production capacity shouldMotorama have?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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Motorama TV estimates the annual demand for its TVs
is (and will be in the future) normally distributed, with a
mean of 6,000 and standard deviation of 2,000. Motorama

must determine how much production capacity it should
have. The cost of building enough production capacity to
make 1,000 sets per year is $1,000,000 (equivalent in present
value terms to a cost of $100,000 per year forever). Exclusive
of the cost of building capacity, each set sold contributes
$250 to profits. How much production capacity should
Motorama have?

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