momzsons4834
08.01.2020 •
Business
Pb4.
lo 3.2west island distributes a single product. the company’s sales and expenses for the month of june are shown.
using the information presented, answer these questions:
what is the break-even point in units sold and dollar sales?
what is the total contribution margin at the break-even point?
if west island wants to earn a profit of $21,000, how many units would they have to sell?
prepare a contribution margin income statement that reflects sales necessary to achieve the target profit.
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Ответ:
The question is incomplete, the complete question is given below.
$
Sales price 150
Variable cost 80
Fixed expenses42,000
Break-even point (in units) = 600 unitsBreak-even point (sales) = $90,000Contribution margin ratio = 46.6%Units to be sold to achieve a profit of $21,000 :900 unitsContribution margin income statement (see below)West Island
Contribution margin income statement
Sales ( $150 900) 135,000
less variable costs($80 × 900) ( 72,000)
Contribution 63,000
Less fixed cost (42,000)
Profit 21,000
Explanation:
Break-even point is the level of activity where a business makes no profit or loss. The number of units to be produced which equates the total cost to total revenue.
It is calculated as ;
Break-even point (in units)=Total general fixed cost/ (selling price per - Variable cost)
Break-even point (sales) = Break-even point (units)× units price
So for West Island, we do as follows:
Break-even point (in units) = $42,000/$(150-80)= 600 units
Break-even point (sales) = 600 × $150 = $90,000
Contribution margin ratio(C.M.R) is the proportion of sales made as contribution. It is determined as contribution/sales revenue.
To calculate the total contribution at the break-even, we just multiply the contribution per unit by the break-even point (units)
Contribution at the break-even point= (150-80) × 600=$42,000
Contribution margin ratio = 42,000/(600*150)= 46.6%
Units to be sold to achieve target profit= (Fixed cost + target profit)/ (S.P- V.C)
Therefore to earn a profit of $21,000., West Island will have to sell:
$(42,000 + 21,000)/$(150-80) = 900 units
West Island
Contribution margin income statement
Sales ( $150 900) 135,000
less variable costs($80 × 900) ( 72,000)
Contribution 63,000
Less fixed cost (42,000)
Profit 21,000
This confirms our answer !
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