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Contribution Margin Ratio a. Yountz Company budgets sales of $2,400,000, fixed c

ID: 2559532 • Letter: C

Question

Contribution Margin Ratio

a. Yountz Company budgets sales of $2,400,000, fixed costs of $525,000, and variable costs of $1,560,000. What is the contribution margin ratio for Yountz Company? (Enter your answer as a whole number.)
%

b. If the contribution margin ratio for Vera Company is 40%, sales were $3,400,000, and fixed costs were $800,000, what was the income from operations?
$

Break-Even Sales and Sales to Realize Income from Operations

For the current year ended October 31, Yentling Company expects fixed costs of $14,000,000, a unit variable cost of $200, and a unit selling price of $300.

a. Compute the anticipated break-even sales (units).
units

b. Compute the sales (units) required to realize income from operations of $1,400,000.
units

Explanation / Answer

Contribution Margin = 35%

Net Income = $560000

BEP = 140000 Units

BEP for desired profit = 154000 Units

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Contribution margin ratio = (Sales – variable cost)/ sales

                                               = (2400000 – 1560000)/2400000

                                               = 840000/2400000

                                               = 0.35 or 35%

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Contribution margin ratio = (Sales – variable cost)/ sales

.40 = (3400000 – Variable cost)/ 3400000

1360000 = 3400000 – Variable cost

Variable cost = 3400000 – 1360000

                        = 2040000

Net income = Sales – variable cost – Fixed cost

                    = 3400000 – 2040000 – 800000

                    = 560000

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Break-even point is the level of sales that a company must achieve to reach at no profit no loss situation,

The formula to calculate BEP (in units) = Total Fixed cost/(selling price per unit - variable cost per unit)

Where,

Fixed cost = $14000000

Selling price = 300 per unit

Variable cost = 200 per unit

Let's put all the values in the formula to get the BEP in units,

BEP = 14000000/ (300 - 200)

BEP = 14000000/100

BEP = 140000 Units

So to reach the BEP company must sell 140000 units

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Sale required to achieve desired profit = (Fixed cost + Desired profit)/ (Sales price per unit - Variable cost per unit)

Where,

Fixed cost = $14000000

Selling price = $300

Variable cost = $200

Desired profit = $1400000

Let's put all the values in the formula,

Required sale = (14000000 + 1400000)/ (300 - 200)

                             = 15400000/ 100

                             = 154000

So to reach desired profit of $1400000 required units that must be sold is 154000 units

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Hope this answer your query.

Feel free to comment if you need further assistance. J

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