Answer:
a) total sales = $79,000,000
variable costs:
- COGS $32,390,000
- commissions $7,110,000
- total variable costs = $39,350,000
contribution margin ratio = $39,350,000 / $79,000,000 = 0.5
total fixed costs = $8,750,000 + $10,607,200 + $9,480,000 = $28,837,200
break even point = $28,837,200 / 0.5 = $57,674,400
b) one of the formulas that we can use to calculate the degree of operating leverage is:
operating leverage = fixed costs / total costs
1) total costs using sales agents = $8,750,000 + $10,607,200 + ($78,800,000 x 0.62) = $68,213,200
total fixed costs = $8,750,000 + $10,607,200 = $19,357,200
degree of operating leverage = $19,357,200 / $68,213,200 = 28.38%
2) total costs employing its own sales staff = ($78,800,000 x 0.5) + $8,750,000 + $10,607,200 + $9,480,000 = $68,237,200
total fixed costs = $28,837,200
degree of operating leverage = $28,837,200 / $68,237,200 = 42.26%
c) when the sales level is $79,000,000, the operating income for both alternatives is $10,662,800
($79,000,000 x 0.5) - $28,837,200 = $10,662,800
($79,000,000 x 0.38) - $19,357,200 = $10,662,800