Respuesta :
Explanation:
1. The computation of the company wide break-even point in dollar sales is shown below:
Break even point = (Traceable fixed expenses + Common fixed expenses ) ÷ (Profit volume Ratio)
where,
Contribution margin = Sales - Variable expenses
= $450,000 - $225,000
= $225,000
And, Profit volume ratio = (Contribution margin) ÷ (Sales) × 100
= ($225,000) ÷ ($450,000) × 100
= 50%
So, the company wide break even point in dollar sales is
= ($126,000 + $63,000) ÷ (50%)
= $378,000
b. For Chicago
Break even point = (Traceable fixed expenses) ÷ (Profit volume Ratio)
where,
Contribution margin = Sales - Variable expenses
= $150,000 - $45,000
= $105,000
And, Profit volume ratio = (Contribution margin) ÷ (Sales) × 100
= ($105,000) ÷ ($150,000) × 100
= 70%
So, the company wide break even point in dollar sales is
= ($78,000) ÷ (70%)
= $111,429
For Minneapolis
Break even point = (Traceable fixed expenses) ÷ (Profit volume Ratio)
where,
Contribution margin = Sales - Variable expenses
= $300,000 - $180,000
= $120,000
And, Profit volume ratio = (Contribution margin) ÷ (Sales) × 100
= ($120,000) ÷ ($300,000) × 100
= 40%
So, the company wide break even point in dollar sales is
= ($48,000) ÷ (40%)
= $120,000
c. The company wide break even point in sales dollars is $378,000 and the total is $111,429 + $120,000 = $231,429
So, the company wide break even point is greater than the sum of the Chicago and Minneapolis break-even points due to the common fixed expenses
The company-wide break-even point in dollar sales is $378,000, and for the Chicago office and for the Minneapolis office it will be $111,429 and $120,000.
What is break even-point?
The break even-point is defined as the market condition where there is no profit and no loss to the seller. The producer of any product is just cover up the cost of their product.
- Computation of break even-point in the given cases:
Calculation of the company's dollar sales break-even point:
Break even point = Fixed Cost ÷ (Profit volume Ratio)
Now, according to the given information,
Fixed Cost = Traceable fixed expenses + Common fixed expenses.
Fixed Cost = $126,000 + $63,000
Fixed Cost = $189,000.
Then, there is a need to find out the Profit volume ratio, this can be computed as:
Profit volume ratio = (Contribution margin) ÷ (Sales) × 100
Now, the contribution margin can be computed as:
Contribution margin = Sales – Variable expenses
Contribution margin = $450,000 – $225,000
Contribution margin = $225,000.
Then, Profit volume ratio = ($225,000) ÷ ($450,000) × 100
Profit volume ratio = 50%
Therefore, the company-wide break even point in dollar sales are:
Break even point sales = $189,000÷ (50%)
Break even point sales = $378,000.
- Computation of break even-point for Chicago:
This can also be computed as the formula of case 1:
Break even point = (Traceable fixed expenses) ÷ (Profit volume Ratio)
Contribution margin = Sales – Variable expenses
Contribution margin = $150,000 – $45,000
Contribution margin = $105,000
And, Profit volume ratio = (Contribution margin) ÷ (Sales) × 100
Profit volume ratio = ($105,000) ÷ ($150,000) × 100
Profit volume ratio = 70%
Then, the company-wide break even point in dollar sales are:
Break even point sales = ($78,000) ÷ (70%)
Break even point sales= $111,429
For Minneapolis:
Contribution margin = $300,000 – $180,000
Contribution margin = $120,000
And, Profit volume ratio = ($120,000) ÷ ($300,000) × 100
Profit volume ratio = 40%
Therefore, the company-wide break even point in dollar sales is
Break even point sales= ($48,000) ÷ (40%)
Break even point sales= $120,000
- In sales dollars, the company's break even point is $378,000, for a total of $111,429 + $120,000 = $231,429
As a result of the common fixed expenses, the company's break-even point is greater than the sum of the break-even points in Chicago and Minneapolis.
Learn more about the break-even point, refer to:
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