Answer:
Grayslake Novelty
Effective Communication by a business executive:
a. Using last year's level of sales:
a1. Contribution Margin:
= Selling price minus variable cost
= $5.00 - $2.75 = $2.25
a2. Breakeven in units:
= Fixed Costs/Contribution margin
= $180,000/$2.25 = 80,000 units
a3. Breakeven in dollars:
= Fixed Cost/Contribution margin ratio
= $180,000/45% = $400,000
a4. Margin of Safety:
= Current Sales - Break-even Point (in dollars)
= $992,000 - $400,000
= $592,000
a5. Margin of Safety Ratio:
= (Current Sales - Break-even Point (in dollars))/Sales x 100
= ($992,000 - 400,000)/$992,000 x 100
= 59.68% or 60%
a6. Degree of operating leverage:
= (Sales minus Variable)/(Sales minus Variable and Fixed Costs)
= ($992,000 - $545,600)/($992,000 - $545,600 - $180,000)
= $446,400/266,400 = 1.68
OR
= Contribution /Net Operating Income
= $446,400/$266,400 = 1.68
b: Alternative 1: Reduction of the current price by 8%:
b1.Contribution Margin:
= Selling price minus variable cost
= $4.60 - $2.75 = $1.85
b2. Breakeven in units:
= Fixed Costs/Contribution margin
= $180,000/$1.85 = 97,297 units
b3. Breakeven in dollars:
= Fixed Cost/Contribution margin ratio
= $180,000/40%
= $450,000
b4. Margin of Safety:
= (Current Sales - Break-even Point (in dollars)
= $912,640 - $450,000 = $462,640
b5. Margin of Safety Ratio:
= (Current Sales - Break-even Point (in dollars))/Sales x 100
= $912,640 - $450,000)/$912,640 x 100
= 51%
b6. Degree of operating leverage:
= Contribution /Net Operating Income
= $367,040/187,040 = 1.96
c: Alternative 2: Reduction of current variable cost by $0.20 per unit:
c1.Contribution Margin:
Selling price - variable cost
= $5.00 - $2.55 = $2.45
c2. Breakeven in units:
=Fixed cost/Contribution margin per unit
= $180,000/$2.45 = 73,469 units
c3. Breakeven in dollars:
=Fixed cost/Contribution margin ratio
= $180,000/49% = $367,347
c4. Margin of Safety:
= (Current Sales - Break-even Point (in dollars)
= $992,000 - $367,347
= $624,653
c5. Margin of Safety Ratio:
= (Current Sales - Break-even Point (in dollars))/Sales x 100
= $624,653/$992,000 x 100
= 63%
c6. Degree of operating leverage:
= Contribution /Net Operating Income
= $486,080/$306,080
= 1.59
d: Alternative 3: Reduction of Current price by 8% and Variable Cost by $0.20 per unit:
d1.Contribution Margin:
= Selling price - variable cost
= $4.60 - $2.55 = $2.05
d2. Breakeven in units:
= Fixed cost/Contribution margin per unit
= $180,000/$2.05
= 87,805 units
d3. Breakeven in dollars:
= Fixed cost/Contribution margin ratio
= $180,000/45%
= $400,000
d4. Margin of Safety:
= (Current Sales - Break-even Point (in dollars)
= $912,640 - $400,000
= $512,640
d5. Margin of Safety Ratio:
= (Current Sales - Break-even Point (in dollars))/Sales x 100
= $512,640/$912,640 x 100 = 56.2%
d6. Degree of operating leverage:
= Contribution /Net Operating Income
= $406,720/$226,720
= 1.8
Step-by-step explanation:
1) Data and Calculations:
Last Year Alt 1 Alt 2 Alt 3
Sales $992,000 $912,640 $992,000 $912,640
Less: Variable Expenses 545,600 545,600 505,920 505,920
Contribution Margin 446,400 367,040 486,080 406,720
Less: Fixed Costs 180,000 180,000 180,000 180,000
Net Operating Income $266,400 $187,040 $306,080 $226,720
Unit selling price = Sales/Quantity sold = $992,000/198,400 = $5.00
Alternative 1, selling price = $5.00 x 92% = $4.40
Sales = $4.60 x 198,400 = $912,640
Last year's
Contribution Margin ratio = Contribution Margin/Sales Value = 45%
Contribution per unit = Selling price x Contribution margin ratio
= $5 x 45% = $2.25
Variable cost per unit = Selling price - Contribution per unit
= $5 - $2.25 = $2.75 or 55% of selling price.
Alt 1:
Contribution margin ratio = Contribution margin/Sales = 40.22%
Contribution per unit = $4.60 x 40.22% = $1.85
Variable cost = Selling price - Contribution per unit = $4.60 - $1.85 = $2.75
Alt 2:
Variable cost = $2.75 - $0.20 = $2.55
Contribution per unit = $5 - $2.55 = $2.45
Contribution margin ratio = $2.45/$5 x 100 = 49%
Alt 3: Alternative 3: Reduction of Current price by 8% and Variable Cost by $0.20 per unit:
Sales = 198,400 x $4.60 = $912,640
Variable Cost per unit = $2.75 - $0.20 = $2.55
Total Variable cost = 198,400 x $2.55 = $505,920
Contribution margin per unit = $4.60 - $2.55 = $2.05
Contribution margin ratio = $2.05/$4.60 x 100 = 45%
The above ratios on the financial performances of Grayslake Novelty under different scenarios communicate some information to the president about the outcome of each alternative. From the analysis, it is easier for management to make a choice of the strategy to pursue in order to achieve its objectives.
Note that the operating leverage measures how the operating income responds to changes in sales for Grayslake Novelty given the alternatives.