If the Marginal Cost for a product is found to be MC= 1500/15x+100' , and the cost of 80 units is found to be $6000, what are: the Total Costs? the Fixed Costs?
If the Marginal Cost for a product is found to be MC= 1500/15x+100' , and the cost of 80 units is found to be $6000, what are: the Total Costs? the Fixed Costs?
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
Section: Chapter Questions
Problem 11MC
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Question
If the Marginal Cost for a product is found to be MC= 1500/15x+100' , and the cost of 80 units is found to be $6000, what are:
- the Total Costs?
- the Fixed Costs?
Expert Solution
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Step 1
We have,
x= 80
Total cost = TC = $6000 at x = 80
Marginal cost,
MC = 1500/ (15x+100)
To find the total cost function, integrate MC function.
Let, t = 15x+100
Step 2
If x = 80,
TC = 6000
a)
Put the value of c in TC function to get complete TC function.
TC (x) = 100 ln (15x+100) +5688.6
At x= 80, TC = $6000
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