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Sagot :
a) The volume in units and dollars necessary to maintain the present profit level, assuming that the maximum price increase is implemented as follows:
Volume = 59,365 units
Dollars = $1,959,059
b) The volume in units and dollars necessary to provide a 6% increase in profits, assuming that the maximum price increase is implemented is as follows:
Volume = 60,127 units
Dollars = $1,984,202
c) If the sales volume were to remain at 60,000 units, the price increase required to attain the 6 percent increase in profits is $33.
Data and Calculations:
Sales units = 60,000 units Total
Selling price = $30 $1,800,000
Variable costs = $15 900,000
Fixed costs = $700,000 700,000
Profit level = $200,000
Contribution margin per unit = $15
Contribution margin ratio = 50%
Labor cost of VC = $7.50 ($15 x 50%)
New labor cost = $8.625 ($7.50 x 1.15)
Direct materials of VC = $3.75 ($15 x 25%)
New direct materials costs = $4.125 ($3.75 x 1.1)
Variable overhead costs = $3.75 ($15 x (1 - 0.75)
New variable overhead costs = $4.50 ($3.75 x 1.20)
New variable costs per unit = $17.25 ($4.50 + $8.625 + $4.125)
The expected increase in sales prices ≤ 10%
Selling price per unit = $33 ($30 x 1.1)
New variable costs per unit = $17.25
Contribution margin per unit = $15.75
Contribution margin ratio = 0.47727
New fixed costs = $735,000 ($700,000 x 1.05)
Profit level increase = 6%
New profit level = $212,000 ($200,000 x 1.06)
a) Sales volume and dollars are as follows:
Volume = Fixed Costs + Profit/Contribution Margin per unit
= ($735,000+ $200,000)/$15.75
= $935,000/$15.75
= 59,365 units
Dollars = $1,959,059 ($935,000/0.47727)
b) Sales volume and dollars are as follows:
Volume = Fixed Costs + Profit/Contribution Margin per unit
= ($735,000+ $212,000)/$15.75
= $947,000/$15.75
= 60,127 units
Dollars = $1,984,202 ($947,000/0.47727)
c) Price = $ (Fixed Costs + Variable Costs + Profit)/60,000
= $ ($735,000 + $1,035,000 + $212,000)/60,000
= $33
Learn more about cost-volume-profit analysis at https://brainly.com/question/23894490
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