TATA Motors is considering three sites - A, B, and C - at which to locate a factory to build its new-model automobile, the TATA SUV XL500. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable cost of production. TATA Motors has gathered the following data:   Site      Annualized Fixed Cost              Variable Cost per Auto Produced A                     $11,000,000                                          $2,000 B                      $20,000,000                                          $1,400 C                      $27,000,000                                          $550   The firm knows it will produce between 0 and 60,000 SUV XL500s at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. Find the range of the production volume for which a)site A is optimal. b)site B is optimal. c)site C is optimal.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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  • TATA Motors is considering three sites - A, B, and C - at which to locate a factory to build its new-model automobile, the TATA SUV XL500. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable cost of production. TATA Motors has gathered the following data:

 

Site      Annualized Fixed Cost              Variable Cost per Auto Produced

A                     $11,000,000                                          $2,000

B                      $20,000,000                                          $1,400

C                      $27,000,000                                          $550

 

The firm knows it will produce between 0 and 60,000 SUV XL500s at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. Find the range of the production volume for which

a)site A is optimal.

b)site B is optimal.

c)site C is optimal.

 

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