Question

In: Accounting

Data related to the expected sales of laptops and tablets for Tech Products Inc. for the...

Data related to the expected sales of laptops and tablets for Tech Products Inc. for the current year, which is typical of recent years, are as follows:

Products Unit Selling Price Unit Variable Cost Sales Mix

Laptops $1,000 $500 40%

Tablets 600 300 60%

The estimated fixed costs for the current year are $6,384,000. Required: 1. Determine the estimated units of sales of the overall (total) product, E, necessary to reach the break-even point for the current year. units____

2. Based on the break-even sales (units) in part (1), determine the unit sales of both laptops and tablets for the current year.

Laptops units_____

Tablets units_____

3. Assume that the sales mix was 60% laptops and 40% tablets. Compare the breakeven point with that in part (1). Why is it so different?____ units

The break-even point is_____ in this scenario than in part (1) because the sales mix is_____ toward the product with the higher_______ of product.

Solutions

Expert Solution

  • All working forms part of the answer
  • Note that tabular data is pasted as a paragraph, and I was confused regarding if $1000 and $500 are selling price, or $1000 and $600 are selling price. So I solved the answers with both the values. You chose the solution based on your question data.
  • Solution with Sales price $1000 and $500 for laptops and tablets respectively

Laptops

Tablets

Unit Selling Price

$1000

$500

Unit Variable cost

$600

$300

Unit Contribution margin

$400

$200

Sales Mix

40%

60%

Weighted Average contribution margin

$160

$120

Total Fixed Cost

$6384000

Total Weighted average contribution margin

$280

Overall Break Even in Units – ANSWER 1

22800

Overall Break Even in Units

22800

Laptop Units [40%] – ANSWER 2

9120

Tablet Units [60%] - ANSWER 2

13680

Laptops

Tablets

Unit Selling Price

$1000

$500

Unit Variable cost

$600

$300

Unit Contribution margin

$400

$200

Sales Mix

60%

40%

Weighted Average contribution margin

$240

$80

Total Fixed Cost

$6384000

Total Weighted average contribution margin

$320

Overall Break Even in Units – ANSWER 3

19,950

The Break Even point is LESS in this scenario than in part (1) because the sales mix is Greater toward the product with the higher Unit Contribution Margin of Product.

  • Solution with Sales price $1000 and $600 for laptops and tablets respectively

Answer 1

Laptops

Tablets

Unit Selling Price

$1000

$600

(-) Unit Variable cost

$500

$300

Unit Contribution margin

$500

$300

Sales Mix

40%

60%

Weighted Average contribution margin

[500x40%] $200

[300 x 60%] $180

Total Fixed Cost

$6,384,000

Total Weighted average contribution margin [200 + 180]

$380

Overall Break Even in Units [6384000 / 380]

16800

Answer 2

Overall Break Even in Units

16,800

Laptop Units [40%]

6720

Tablet Units [60%]

10080

Answer 3

Laptops

Tablets

Unit Selling Price

$1000

$600

(-) Unit Variable cost

$500

$300

Unit Contribution margin

$500

$300

Sales Mix

60%

40%

Weighted Average contribution margin

$300

$120

Total Fixed Cost

$6,384,000

Total Weighted average contribution margin [300 + 120]

$420

Overall Break Even in Units

15,200

The Break Even point is LESS in this scenario than in part (1) because the sales mix is Greater toward the product with the higher Unit Contribution Margin of Product.


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