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Bags Fixed Cost Variable Cost Total Cost 0 $1,700 $ - $1,700 100 $1,700 $500 $2,200 200 $1,700 $1,200 $2,900 300 $1,700 $2,700 $4,400 400 $1,700 $5,200 $6,900 500 $1,700 $9,000 $10,700 600 $1,700 $15,000 $16,700 700 $1,700 $23,800 $25,500 800 $1,700 $36,800 $38,500 900 $1,700 $55,800 $57,500 1,000 $1,700 $83,000 $84,700 Given the above information on cost, if you charge $15 per entry, what is the the break even quantity of bags?  At what quantity of bags will profits be maximized?  

Economics Mar 24, 2022

Bags Fixed Cost Variable Cost Total Cost

0 $1,700 $ - $1,700

100 $1,700 $500 $2,200

200 $1,700 $1,200 $2,900

300 $1,700 $2,700 $4,400

400 $1,700 $5,200 $6,900

500 $1,700 $9,000 $10,700

600 $1,700 $15,000 $16,700

700 $1,700 $23,800 $25,500

800 $1,700 $36,800 $38,500

900 $1,700 $55,800 $57,500

1,000 $1,700 $83,000 $84,700

Given the above information on cost, if you charge $15 per entry, what is the the break even quantity of bags?  At what quantity of bags will profits be maximized?  .

Please select any/all viable approaches below: 

 

Using Qb = F/(MR-AVC) where Qb is the break even quantity, the event would break even at 283 bags>

 

Using the profit maximizing rule, MR ≥ MC, the quantity of bags that will maximize profits is 200 bags.

 

 

 

Using the profit maximizing rule, MR ≥ MC, the quantity of bags that will maximize profits is 300 bags.

 

 

 

The break even quantity can not be determined in this case.

Expert Solution

The application answers are as follow : 

  1. Using Qb = F/(MR-AVC) where Qb is the break even quantity, the event would break even at 283 bags
  2. Using the profit-maximizing rule, MR ≥ MC, the quantity of bags that will maximize profits is 300 bags.p

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