Detroit Disk, Inc. is a retailer for digital video disks. The projected net inco
ID: 2521303 • Letter: D
Question
Detroit Disk, Inc. is a retailer for digital video disks. The projected net income for the current year is $1,920,000 based on a sales volume of 240,000 video disks. Detroit Disk has been selling the disks for $24.00 each. The variable costs consist of the $12.00 unit purchase price of the disks and a handling cost of $2.00 per disk. Detroit Disk’s annual fixed costs are $480,000.
Management is planning for the coming year, when it expects that the unit purchase price of the video disks will increase 30 percent.
a.) Calculate Detroit Disk’s break-even point for the current year in number of video disks.
b.) What will be the company’s net income for the current year if there is a 15 percent increase in projected unit sales volume?
c.) What volume of sales (in dollars) must Detroit Disk achieve in the coming year to maintain the same net income as projected for the current year if the unit selling price remains at $24.00 but the unit purchase price of the disks increases by 30 percent as expected?
d.) In order to cover a 30 percent increase in the disk’s purchase price for the coming year and still maintain the current contribution-margin ratio, what selling price per disk must Detroit Disk establish for the coming year?
Detroit Disk, Inc. is a retailer for digital video disks. The projected net income for the current year is $1,920,000 based on a sales volume of 240,000 video disks. Detroit Disk has been selling the disks for $24.00 each. The variable costs consist of the $12.00 unit purchase price of the disks and a handling cost of $2.00 per disk. Detroit Disk’s annual fixed costs are $480,000.
Management is planning for the coming year, when it expects that the unit purchase price of the video disks will increase 30 percent.
a.) Calculate Detroit Disk’s break-even point for the current year in number of video disks.
b.) What will be the company’s net income for the current year if there is a 15 percent increase in projected unit sales volume?
c.) What volume of sales (in dollars) must Detroit Disk achieve in the coming year to maintain the same net income as projected for the current year if the unit selling price remains at $24.00 but the unit purchase price of the disks increases by 30 percent as expected?
d.) In order to cover a 30 percent increase in the disk’s purchase price for the coming year and still maintain the current contribution-margin ratio, what selling price per disk must Detroit Disk establish for the coming year?
Explanation / Answer
SOLUTION
(A) Variable cost = $12 + $2 = $14
Contribution margin per unit = Sales price - Variable cost
= $24 - $14 = $10
Breakeven point = Fixed costs / Contribution margin per unit
= $480,000 / $10 = 48,000 units
(B)
Increase in sales volume - 240,000 * 15% = 36,000
Sales volume = 240,000 + 36,000 = 276,000
(C)
New purchase price = $12 * 130% = $15.60
New Variable cost = $15.60 + $2 = $17.60
New contribution margin per unit = $24 - $17.60 = $6.40
Breakeven point = (Fixed cost + target income) / Contribution margin per unit
= ($480,000 + $1,920,000) / $6.40
= $2,400,000 / $6.40
= 375,000 units
Amount ($) Sales (276,000 * $24) 6,624,000 Variable costs (276,000 * $14) 3,864,000 Contribution margin 2,760,000 Fixed costs 480,000 Net Income 2,280,000Related Questions
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