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(Solved): Here is the following information about the production of single factory Total revenue function: TR ...



Here is the following information about the production of single factory

Total revenue function: TR = 400Q – 0.02Q2

Total cost function: TC = 40,000 + 40Q + 0.04Q2

Minimum AC = -40,000Q-2 + 0.04 = 0

 

  1. Calculate the profit maximizing level of output and price for one plant and the profit

 

  1. Find the profit maximizing level of output When the business were to switch to a multi-plant operation taking advantage of minimum average cost. How many plants would this multi-plant operation involve? Show all workings.

 

  1. Find the level of profit for the multi-plant operation.

 

  1. Should this operation operate as a multi-plant operation or a single plant operation?


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MR = dTR / dQ = 400 - 0.04Q MC = dTC / dQ = 40 + 0.08Q
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