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Using the table: Revenue and Cost for a Perfectly Competitive Firm

Economics Dec 15, 2020

Using the table: Revenue and Cost for a Perfectly Competitive Firm. What is the Quantity that maximizes profit?

Select one:

a. 0

b. 8

c. 10

d. 9

Revenue and Cost for a Perfectly Competitive Firm

 

P Q TR MR TC MC Profit
50   0       20    
50   1   50   32    
50   2   50   48    
50   3   50   68    
50   4   50   92    
50   5   50 120    
50   6   50 152    
50   7   50 188    
50   8   50 228    
50   9   50 270    
50 10   50 320    
50 11   50 372    
50 12   50 428    
50 13   50 488

Expert Solution

c. 10 units

Reason:

 

A firm seeks to maximise its profit at the level where the MR = MC.In a perfectly competitive market, the firm will produce the level of output where the equality between MR and MC is attained where,

TR = Price * units of output

MR = TRn- TRn-1, where n depicts the number of units

MC= TCn - TCn-1

Profit = TR-TC

If we compute the values based on the above formulas, we see that, at 10 units of output, the MR = MC. At this level, the total revenue = $500, while the total cost = $320, which makes the total profit = $180. Hence we see that the firm will maximise its profit by producing 10 units of output.

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