Answer:
Contribution per unit = Selling price - Unit variable cost
= $70 - $10 = $60
Break-even sales in units = <u>Fixed cost</u>
Contribution per unit
= <u>$1,980,000</u>
$60
= 33,000 units
If fixed cost reduced by $49,500, new fixed cost will be $1.930,500
33,000 = <u>$1,930,500</u>
$70 - VC
33,000(70 - VC) = $1,930,500
2,310,000 - 33,000VC = $1,930,500
2,310,000 - $1,930,500 = 33,000VC
379,500 = 33,000VC
<u>379,500</u> = VC
33,000
VC = $11.50
Increase in variable expenses per unit
= $11.50 - $10 = $1.50
Explanation:
In this case, we need to determine the break-even point in units, which is fixed cost divided by variable expenses per unit. If total fixed expenses reduced by $49,500, the new total fixed expenses will be $1,930,500. Then, we will equate the break-even point in units to the new fixed cost divided by contribution per unit, which is selling price minus variable expenses per unit. Since break-even point in units, new fixed cost and selling price were known with the exception of variable cost, variable cost becomes the subject of the formula. The old variable expenses will be deducted from the new variable expenses so as to obtain increase in variable expenses per unit.
= New Forecast
= Previous period's forecast.
= Smoothing Constant
= Previous period's Actual Demand.