Question

In: Accounting

Sales Mix and Break-Even Sales Data related to the expected sales of laptops and tablets for...

Sales Mix and Break-Even Sales

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 $260 $180 30%
Tablets 520 240 70%

The estimated fixed costs for the current year are $616,000.

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 70% laptops and 30% tablets. Determine the estimated units of sales of the overall product necessary to reach the break-even point for the current year.
units

Why is it so different?

The break-even point is ? in this scenario than in part (1) because the sales mix is weighted ? heavily toward the product with the ? contribution margin per unit of product.

Solutions

Expert Solution

Q1.

Per unit: Laptops Tablets Total
Selling price $               260 $                   520 $         780
Less: Variable cost $               180 $                   240 $         420
Contribution $                  80 $                   280 $         360
Sales Mix 30% 70% 100%
Weighted avg.Contribution $                  24 $                   196 $         220
Total Breakeven sales in units:
Fixed Cost $ 616,000.00 = 2,800 units
Weighted Average Contribution margin per unit $ 220

********************

Q2.

Break even points in units for both:
Laptop : 2,800 units * 30% = 840 units
Tablets : 2,800 units * 70% = 1,960 units

*******************

Q3.

*Break even should change, if sales mix proportion would change. Then,It Impacts the Contribution margin and Overall Weighted average contribution margin.

* The Break-even point will depend on the mix in which the various products are sold.

*Break evn point in units = 4,400 units;

*Contribution margin: Laptop- $56; Tablets- $84.

Per unit: Laptops Tablets Total
Selling price $               260 $                   520 $         780
Less: Variable cost $               180 $                   240 $         420
Contribution $                  80 $                   280 $         360
Sales Mix 70% 30% 100%
Weighted avg.Contribution $                  56 $                     84 $         140
Total Breakeven sales in units:
Fixed Cost $ 616,000.00 = 4,400 units
Weighted Average Contribution margin per unit $ 140
Break even points in units for both:
Laptop : 4,400 units * 70% = 3,080 units
Tablets : 4,400 units * 30% = 1,320 units

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