Question

Disk City, Inc. is a retailer for digital video disks. The projected net income for the current year is $1,680,000 based on a sales volume of 220,000 video disks. Disk City has been selling the disks for $24 each. The variable costs consist of the $12 unit purchase price of the disks and a handling cost of $2 per disk. Disk City’s annual fixed costs are $520,000. Management is planning for the coming year, when it expects that the unit purchase price of the video disks will increase 30 percent. (Ignore income taxes.)

Required: Calculate Disk City’s break-even point for the current year in number of video disks. (Round your final answer up to nearest whole number.)

What will be the company’s net income for the current year if there is a 15 percent increase in projected unit sales volume?

What volume of sales (in dollars) must Disk City 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? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

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 Disk City establish for the coming year? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Answer 1

Contribution margin per unit of disk = Selling price - variable cost

= $24 - (12+2) = $10

Breakeven point = Total fixed cost / Contribution margin per unit

= $520,000/10 = 52,000 units

Current projected sales volume is higher than breakeven point, so each extra unit sold above breakeven point will give net profit to the company.

220,000 * 15% = 33,000 units sales increase.

So increase in income = 33,000 units * $10 = $330,000

Company's net income for the current year = $1,680,000 + 330,000

=$2,010,000

Volume of sales (in dollars) must Disk City achieve in the coming year to maintain the same net income ($1,680,000) as projected for the current year if the unit selling price remains at $24.

Here the cost of purchase has increased by 30% i.e. $3.60 per unit.

Revised contribution margin per unit = $24 - (12+3.6+2) = $6.4

Required Sales = (Total fixed cost + Required net income) / Contribution margin per unit

= ($520,000 + 1,680,000) / 6.4

= 343,750 units

Sales in dollars = 343,750 * $24 = $8,250,000

Current year contribution margin ratio = ($10/24) * 100 = 41.67%

Variable cost in % for the current year = ($14/24) * 100 = 58.33%

Variable cost in coming year = $12+3.6+2 = $17.60 per unit

Selling price in coming year should be = $17.60/58.33%

= $30.17 per unit