CVP-Me-The Soon's Application Question
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Apr 3, 2024
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Annual Fixed Expenses:
Chef's and Dishwasher's Salaries: $50,400
Rent (premise and equipment): ($4,000/month x 12) = $48,000
Cleaning (linen and premises): ($800/month x 12) = $9,600
Replacement of Dishes, Cutlery, and Glasses: ($300/month x 12) = $3,600
Utilities, Advertising, Telephone: ($1900/month x 12) = $22,800
Total Annual Fixed Expenses: $134,400
Contribution Margin per unit:
(Selling price per unit - Variable cost per unit) =
($40 - $12) = $28
Contribution Margin Ratio:
(Selling price per unit - Variable cost per unit)/Selling price per unit =
($40 - $12)/$40 = 0.7
Annual Break Even Number of Meals:
(Total fixed expenses/Contribution Margin per unit) =
($134,400/$28) = 4800 meals
Annual Break Even Sales Revenue:
(Total fixed expenses/Contribution Margin Ratio) =
($134,400/0.7) = $192,000 sales revenue
Number of Meals Needed to Earn Annual Operating Income of $75,600:
Target Profit in Units:
(Fixed costs + Target Profit)/(Contribution Margin per unit) =
($134,400 + $75,600)/$28 = 7500 meals needed annually to earn $75,600 in Operating Income
Amount of Sales Revenue Needed to Earn Annual Operating Income of $75,600:
(Number of meals needed to earn $75,600 Operating Income per year x Total Cost per meal) =
(7500 x $40) = $300,000 in total sales
Variable cost:
(7500 units x $12 Variable cost per unit) = $90,000
Contribution Margin:
($300,000 total sales - $90,000 variable costs) = $210,000
Total Fixed Costs:
$134,400
Net Income:
(Contribution Margin - Total Fixed Costs) = ($210,000 - $134,400) = $75,600
Therefore, total sales needed to earn $75,600 in annual operating income is $300,000
Number of Meals That Must be Served Each Day to Earn
$75,600 in Operating Income:
Number of weeks per year restaurant is open: 50
Number of days per week restaurant is open:
(50 weeks x 5 days per week) = 250 operating days per year
(Meals needed annually/Number of days restaurant is opened annually) =
(7500 meals/250 days) = 30 meals needed each day to earn $75,600 in Operating Income
Should The Soon's Open the Restaurant?
Yes, I believe The Soon's should open the restaurant based on the CVP analyses.
If 30 meals per day are needed to reach The Soon's annual target profit of $75,600, that would mean they would need an average of 53.6% full seating capacity each evening, as follows:
7 tables x 4 seats per table = 28 total patrons per seating at full capacity
2 dinner seatings each day x 28 patrons at full capacity = 56 total patrons per day with restaurant at full capacity
Therefore, the restaurant has the potential to sell 56 meals each day if the restaurant were to reach full capacity at the maximum amount of seatings (two)
30 meals sold each day is needed to earn the annual target profit of $75,600
30 meals needed/56 potential meals sold = 0.536
Therefore, the 30 meals needed to be sold daily for The Soon's to earn $75,600 in annual operating income means that the restaurant would have
to be at an average of 53.6% of full capacity, which are very good odds. If The Soon's only manage to have their restaurant a little more than half full each operating day, they will hit their target profit of $75,600
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