Hyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data: Site Annualized Fixed Cost Variable Cost per Battery Produced A $11,000,000 $2,500 B C $2,100 $1,050 $20,000,000 $25,000,000 The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. a) The value of volume, V, of production above which site C is recommended = batteries (round your response up to the next whole number).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
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Hyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by
the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data:
Site
Annualized Fixed Cost
Variable Cost per
Battery Produced
A
$11,000,000
$2,500
B
C
$2,100
$1,050
$20,000,000
$25,000,000
The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans.
a) The value of volume, V, of production above which site C is recommended =
batteries (round your response up to the next whole number).
Transcribed Image Text:Hyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data: Site Annualized Fixed Cost Variable Cost per Battery Produced A $11,000,000 $2,500 B C $2,100 $1,050 $20,000,000 $25,000,000 The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. a) The value of volume, V, of production above which site C is recommended = batteries (round your response up to the next whole number).
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