Answer:
a = 12%
b = 4.82%
c = 248%
d = 4.78%
Explanation:
Calculating Break even point
Fixed cost / Sales price per unit - variable cost per unit = break even point
$569,880 / {$7.20-$4.32}
=$569,880 / $2.88
=$197,875 is the break even point.
a.
Margin of Safety
225,000 packages - $197,875 / 225,000 packages * 100
=12%
b.
Income is computed
Sales $1,620,000 {225,000 * $7.2}
Less: COGS $972,000 {225,000 * $4.32}
Less : Fixed Costs $569,880
Income = $78,120
Operating leverage is % change in Income / % change in sales
$78,120 / $1,620,000 * 100
= 4.82%
c. If sales increase by 30%
Sales $2,106,000 {225,000 * $7.2 * 130%}
Less: COGS $1,263,600 {225,000 * $4.32 * 130%}
Less : Fixed Costs $569,880
Income = $272,520
Increase in Income = $272,520 - $78,120 / $78,120 * 100
= 248%
d. Calculating Break even point
Fixed cost / Sales price per unit - variable cost per unit = break even point
$569,880 + $41,200 / {$7.20-$4.32}
= $212,180.56
Operating leverage is % change in Income / % change in sales
Calculating increase in income
Sales $1,863,000 {225,000 * $7.2 * 115%}
Less: COGS $1,117,800 {225,000 * $4.32 * 115%}
Less : Fixed Costs $611,080 {$569,880 + 41,200}
Income = $134,120
Increase in Income = $134,120 - $78,120 / $78,120 * 100
=71.68%
Operating leverage is % change in Income / % change in sales
71.68% / 15%
= 4.78%
