CVP-Me-The Soon's Application Question

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School

Centennial College *

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Course

2011

Subject

Accounting

Date

Apr 3, 2024

Type

docx

Pages

3

Uploaded by ProfEnergy8541

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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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