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

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docx

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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
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