What is the profit maximization for apex firm if we have the following data quantitiy /unit ={0,1,2,3,4,5,6,7,8,9,10} total variable cost =[0,100,180,220,300,390,500,640,800,1000,1250} 2. If the market price dropped to $80, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case? 3. If the market price dropped further to $40, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case? 4. Comment on your answers to parts (2) and (3)

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What is the profit maximization for apex firm if we have the following data 

quantitiy /unit ={0,1,2,3,4,5,6,7,8,9,10}

total variable cost =[0,100,180,220,300,390,500,640,800,1000,1250}

2. If the market price dropped to $80, what is the profit-maximizing level of output? What is Apex’s
profit (or loss) in this case?
3. If the market price dropped further to $40, what is the profit-maximizing level of output? What
is Apex’s profit (or loss) in this case?
4. Comment on your answers to parts (2) and (3)

Expert Solution
Step 1

Profit maximization occurs at the point when Marginal Revenue is equal to the Marginal Cost. Also, after this point Marginal Cost must be increasing.

 

Total Revenue=Price*Quantity

MR(n)=TR(n)-TR(n-1)   [where n is the quantity]

MC(n)=TVC(n)-TVC(n-1)

 

2. When P=$80

We have calculated the above variables in the following table:

Economics homework question answer, step 1, image 1

MR is 80. It is equal to the MC at two points when the outputs 2 units and when it is 4 units. But after the units, MC is decreasing and it is increasing after 4 units of output. So, the profit-maximizing output when the price is $80 is4 units.

Profit=TR-TC

Profit=320-300=20

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