Answer:
1.
<u>Sales mix</u>
Portable grills = 20000/75000 = 4/15 or 26.67%
Stationary grills = 50000/75000 = 2/3 or 66.67%
Smokers = 5000/75000 = 1/15 or 6.67%
2.
<u>Break even in units</u>
Overall = 2128500 / 66 = 32250 units
Portable = 32250 * 4/15 = 8600
Stationary = 32250 * 2/3 = 21500
Smokers = 32250 * 1/15 = 2150
Explanation:
1.
The sales mix is the proportion of sales in units that each product holds in the in relation to the total overall sales in units of all products. The sales mix is calculated as follows,
Sales mix proportion of Product A = Sales in units Product A/Total number of sales in units of all products
The total number of sales in units of all products is,
Total sales in units = 20000 + 50000 + 5000 = 75000 units
<u />
<u>Sales mix</u>
Portable grills = 20000/75000 = 4/15 or 26.67%
Stationary grills = 50000/75000 = 2/3 or 66.67%
Smokers = 5000/75000 = 1/15 or 6.67%
2.
We will compute the overall break even point in units in then divide it according to the sales mix to calculate the break even in units of each product.
To calculate the overall break even in units, we need to determine the weighted average contribution per unit.
Weighted average contribution per unit = 4/15 * (90 - 45) + 2/3 * (200 - 130) + 1/15 * (250 - 140)
Weighted average contribution per unit = 66
<u />
<u>Break even in units</u>
Overall = 2128500 / 66 = 32250 units
Portable = 32250 * 4/15 = 8600
Stationary = 32250 * 2/3 = 21500
Smokers = 32250 * 1/15 = 2150
