For what range of output would you prefer site A?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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Consider the following information about sites A, B, and C:

  Site A B C

FC (annual) $100.000 $120.000 $150.000

VC (per unit) $10 $8 $7

For what range of output would you prefer site A?

Expert Solution
Step 1

Firstly let's find the indifferent points between site A and B

Total cost function of site A = Total cost function of site B

$100,000 + $10 *Q = $120,000 + $8*Q [here Q means indifference quantity]

By solving the above equation,

Q = 10000 units

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