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need help with requirement 3B, 4, and 5. Thank you in advance.
Exercise 5-18 (Static) Break-Even and Target Profit Analysis; Margin of Safety; CM Ratio (LO5-1, LO5-3, LO5-5, LO5-6, LO5-7)
3-a. How many units would have to be sold each month to attain a target profit of $90,000? 3-b. Verify your answer by prepari
Required: 1. What is the monthly break-even point in unit sales and in dollar sales? 2. Without resorting to computations, wh
Required: 1. What is the monthly break-even point in unit sales and in dollar sales? 2. Without resorting to computations, wh
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Answer #1

Answer -

1. Answer -

Break-even point in unit sales = 12,000 units

Break-even point in sales dollars = $360,000

Calculation:

Here,

Contribution margin per unit = Sales per unit - Variable expenses per unit

= $30 - $12

= $18

Contribution margin ratio = (Contribution margin / Sales) * 100

= ($270,000 / $450,000) * 100

= 60%

Now,

Break-even point in unit sales:

= Fixed expenses / Contribution margin per unit

= $216,000 / $18

= 12,000 units

And

Break-even point in sales dollars:

= Fixed expenses / Contribution margin ratio

= $216,000 / 60%

= $360,000

2. Answer -

Total contribution margin = $216,000

Calculation:

Here, the total contribution margin is equal to the fixed expenses because at the break-even point the operating income for the company is zero and operating income is the difference between contribution margin and fixed expenses.

So,

Total contribution margin / Fixed expenses = Break-even point in unit sales * Contribution margin per unit

= 12,000 units * $18 per unit

= $216,000

3a. Answer -

Units sales needed to attain target profit = 17,000 units

Calculation:

Units sales needed to attain target profit of $90,000:

= (Fixed expenses + Target profit) / Contribution margin per unit

= ($216,000 + $90,000) / $18 per unit

= 17,000 units

3b. Answer -

Menlo Company

Contribution Income Statement

Total

Per unit

Sales

$510,000

$30

Variable expenses

$204,000

$12

Contribution margin

$306,000

$18

Fixed expenses

$216,000

Net operating income

$90,000

Calculation:

Sales = Sales per unit * Target sales level

= $30 per unit * 17,000 units

= $510,000

Variable expenses = Variable expenses per unit * Target sales level

= $12 per unit * 17,000 units

= $204,000

Contribution margin = Sales - Variable expenses

= $510,000 - $204,000

= $306,000

Operating income = Contribution margin - Fixed expenses

= $306,000 - $216,000

= $90,000

4. Answer -

Dollars

Percentage

Margin of safety

$90,000

20%

Calculation:

Margin of safety in dollars = Sales - Break-even sales in dollars

= $450,000 - $360,000

= $90,000

Margin of safety in percentage = (Margin of safety in dollars / Sales) * 100

= ($90,000 / $450,000) * 100

= 20%

5. Answer -

CM ratio

60%

Net operating income increases by

$30,000

Calculation:

CM ratio (Contribution margin ratio):

= [(Sales per unit - Variable expenses per unit) / Sales per unit] * 100

= [($30 per unit - $12 per unit) / $30 per unit] * 100

= 60%

Here,

As per the given information, no change in fixed expenses. Therefore, the increase in contribution margin equal to the increase in net operating income.

So,

Increase in contribution margin or Net operating income increases by:

= Increase in sales * Contribution margin ratio

= $50,000 * 60%

= $30,000

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