In: Accounting
The following information applies to the questions displayed below.] Oslo Company prepared the following contribution format income statement based on a sales volume of 1,000 units (the relevant range of production is 500 units to 1,500 units): Sales $ 24,200 Variable expenses 13,400 Contribution margin 10,800 Fixed expenses 7,668 Net operating income $ 3,132 1. If sales decline to 900 units, what would be the net operating income? (Do not round intermediate calculations.) 2. If the selling price increases by $2.40 per unit and the sales volume decreases by 100 units, what would be the net operating income? (Do not round intermediate calculations.) 3. What is the break-even point in unit sales? (Do not round intermediate calculations.) 4. What is the break-even point in dollar sales? (Round intermediate calculations to 4 decimal places. Round your final answer to the nearest dollar amount.) 5. How many units must be sold to achieve a target profit of $6,966? (Do not round intermediate calculations.)
Solution:
Part 1 – Net Operating Income If sales decline to 900 units
Per Unit (Refer working below) |
$$ |
|
Sales Revenue (100 Units) |
$24.20 |
$2,420 |
Less: Variable Expenses |
$13.40 |
$1,340 |
Contribution Margin |
$10.80 |
$1,080 |
Less: Fixed Expenses |
$7,668 |
|
Net Operating Income / (loss) |
($6,588) |
Net Operating Loss = $6,588
Working:
Calculation of Per Unit Selling Price and Variable Expenses
Per Unit |
$$ |
|
Sales Revenue (1,000 Units) |
$24.20 (24200 / 1000) |
$24,200 |
Less: Variable Expenses |
$13.40 (13400 / 1000) |
$13,400 |
Contribution Margin |
$10.80 (24.20 – 13.40) |
$10,800 |
Less: Fixed Expenses |
$7,668 |
|
Net Operating Income |
$3,132 |
Part 2 -- If the selling price increases by $2.40 per unit and the sales volume decreases by 100 units, what would be the net operating income
Per Unit |
$$ |
|
Sales Revenue (900 Units) |
$26.60 |
$23,940 |
Less: Variable Expenses |
$13.40 |
$12,060 |
Contribution Margin |
$13.20 |
$11,880 |
Less: Fixed Expenses |
$7,668 |
|
Net Operating Income / (loss) |
$4,212 |
Net Operating Income = $4,212
Part 3 -- What is the break-even point in unit sales
Break Even Point in unit sales = Total Fixed expenses / Contribution Margin per Unit
= $7,668 / 10.80
= 710 Units
Part 4 -- What is the break-even point in dollar sales
break-even point in dollar sales = Break Even Point in unit sales x Unit Selling Price
= 710 Units x $24.20
= $17,182
Part 5 -- How many units must be sold to achieve a target profit of $6,966
Number of units must be sold to achieve target profit = (Total Fixed Expenses + Target Profit) / Contribution Margin per Unit
= (7,668 + 6966) / 10.80
= 1,355 Units
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