Question

Sue sells authentic Amish quilts on her website. Suppose Sue expects to sell 3 comma 000 quilts during the coming year. Her average sales price per quilt is $ 275​, and her average cost per quilt is $ 150. Her fixed expenses total $ 225 comma 000. Compute her margin of safety a. in units​ (quilts). b. in sales dollars. c. as a percentage of expected sales.

Answer 1

Answer:

(A) 1,200 Margin of Safety_{units}

(B) 330,000 Margin of Safety_{usd}

(C) Margin of Safety 40% of Sales

Explanation:

(A)

$Sales \: Revenue - Variable \: Cost = Contribution \: Margin$

275 - 150 = 125 CM per unit

$\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units}$

$\frac{225,000}{125} = 1,800 = Break\: Even\: Point_{units}$

${units \: sold- BEP_{units} = margin \: of \: safety_{units}$

3,000 - 1,800 = 1,200 Margin of Safety_{units}

HOW? we Calculate the contribution per unit. Then the BEP in units and with that the margin of safety in units.

(B)

$\frac{Contribution Margin}{Sales Revenue} = Contribution Margin Ratio$

125/275 = 0.45454545 = 5/11 CM ratio

$\frac{Fixed\:Cost}{Contribution \:Margin \:Ratio} = Break\: Even\: Point_{dollars}$

225,000/(5/11) = 495,000 BEP USD

${current \:sales - BEP_{USD} = margin \: of \: safety$

825,000-495,000 = 330,000 Margin of Safety_{usd}

HOW? we Calculate the contribution ratio by dividing CM over sales. Then the BEP in dollars and with that the margin of safety in dollars.

Important: When posible to avoid rounding errors express as fraction iof posible

(C)

$\frac{current \:sales - BEP_{USD}}{current \:sales} \times 100 = margin \: of \: safety$

$\frac{330,000}{825,000} \times 100 = margin \: of \: safety$

Margin of Safety 40%