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Sarah is the marketing manager for Utter Mayhem, the hottest new game among teenage gamers

Marketing

Sarah is the marketing manager for Utter Mayhem, the hottest new game among teenage gamers. In order to get her bonus she has to sell a lot of games in the Christmas launch, as Utter Mayhem was a bit pricy to make. She has the following information.

FC = $1,200,000

Price = $55

Unit variable cost = $28

If Breakeven Even Volume (BEV) = fixed costs / (price-variable cost) then how many games does Sarah need to sell to make a profit of $500,000.

Make sure you pay attention to the PROFIT Sarah wants to make.

Question 18 options:

 

71, 664

 

64, 873

 

62, 962

 

61, 221

 

66, 098

 

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Answer:62,963

Step-by-step explanation

Given that,

Fixed Cost = $1,200,000

Price = $55

Unit Variable cost = $28 => Total variable cost = $28 x Quantity

Let the quantity of games to be sold to make $500,000 profit be 'Q'

Total Revenue = Price x Quantity = $55Q

Total Cost = Fixed Cost + Total Variable Cost = $1,200,000 + $28Q

Profit = $55Q - ($1,200,000 + $28Q)

=> 500,000 = 55Q-1,200,000-28Q

=> 500,000 = 27Q - 1,200,000

=> Q = (500,000+1,200,000)/27 = 62,962.96 = 62,963 units (approx)

Number of games Sarah needs to sell to make a profit of $500,000 = 62,963