wonder company manufactures one product that sells for $90 per unit and has a contribution margin ratio of 35%. the company's fixed expenses are $46,800. if wonder desires a monthly target net operating income equal to 15% of sales, the amount of sales in units will have to be (rounded):

Respuesta :

wonder company manufactures one product that sells for $90 per unit and has a contribution margin ratio of 35%.

The steps are listed below.

Providing the following details:

Sales= $640,000 ($40)

Total variable costs = 448,000 (28)

Margin of contribution = 192,000 ($12).

Fixed costs = (145,200)

$46.800 in net operating income

1) Use the following calculations to get the break-even point in units and dollars:

Break-even point in units = contribution margin per unit minus fixed costs

Break-even point equals 145,200 units (40-28)

Break-even point equals 12,100 units in units.

Fix expenses divided by contribution margin ratio is the break-even point in dollars.

Break-even point (12/40) = 145,200 dollars

The break-even mark is equal to $484,000.

2) The break-even point is the quantity of units that must be sold to generate a zero net profit. Since fixed costs cannot be changed, the contribution margin must match them.

Margin of contribution = 145,200

3) Gain = $75,600

Break-even point in units = contribution margin per / (fixed expenses + targeted profit)unit

Break-even point is 220,800/12 in units.

Break-even point equals 18,400 units in units.

Sales= 18,400*40= 736,000

Total variable expenses are 18,400*28. (515,200)

Margin of contribution = 220,800

145,200 in fixed costs

75,600 is the net profit

4) The safety margin

Risk of error = (current sales level - break-even point)

Margin of safety is equal to 640,000 - 484,000, or $156,000.

Break-even point divided by current sales level is the margin of safety ratio manufacture.

Ratio of the safety margin = 156,000 to 640,000

0.244 times the margin of safety equals 24.4%.

5) Ratio of contribution margin: 12/40 = 0.3

Net growth equals 96,000*0.3, or $28,800.

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