Question

Thad Morgan, a motorcycle enthusiast, has been exploring the possibility of relaunching the Western Hombre brand of cycle that was popular in the 1930s. The retro-look cycle would be sold for $14,000 and at that price, Thad estimates 600 units would be sold each year. The variable cost to produce and sell the cycles would be $9,800 per unit. The annual fixed cost would be $1,890,000.
a. What is the break-even in unit sales?
Break-even in unit sales
b.
What is the margin of safety in dollars (Omit the "$" sign in your response.)


Margin of safety in dollars $
c. What is the degree of operating leverage? (Round your answer to 2 decimal places.)
Degree of operating leverage
Thad is worried about the selling price. Rumors are circulating that other retro brands of cycles may be revived. If so, the selling price for the Western Hombre would have to be reduced to $11,000 to compete effectively. In that event, Thad would also reduce fixed expenses to $1,456,000 by reducing advertising expenses, but he still hopes to sell 600 units per year.
d. What would the net operating income be in this situation? (Negative amount should be indicated by a minus sign. Omit the "$" sign in your response.)

Answer 1

Answer:

Explanation:

a. Break even in unit sales =  (Fixed expenses ) ÷ (Contribution margin per unit)

= $1,890,000 ÷ ($14,000 - $9,800)

= 450  units

b. Margin of safety = Expected sales - break even sales

= ($14,000 × 600) - ($14,000 × 450)

= $2,100,000

Contribution margin  = Sales - Variable cost

= ($14,000 × 600) - ($9,800 × 600)

= $2,520,000

Profit before earning and tax  = Contribution margin - Annual fixed cost

= $2,520,000 - $1,890,000

= $630,000

c. Degree of operating leverage = Contribution ÷  Profit before earning and tax

= $2,520,000 ÷ $630,000

= 4

d. Loss on Net operating income = (Sales) - (Variable cost) - Fixed expenses

=($11,000 × 600) - ($9,800 × 600) - $1,456,000

= -$736,000