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notsponge [240]
3 years ago
4

Kyle runs a store that sells small and large space heaters. The large heaters sell for $250 each with unit variable costs of $12

0, while the small space heaters sell for $80 each with unit variable costs of $30. Currently, the small space heaters amount to 2,100 of the units sold, while the large heaters amount to 700 of the units sold. The fixed costs for the store are $126,000. What is the company-wide break-even point in units?
Business
1 answer:
Anna [14]3 years ago
3 0

Answer: The company wide break even point in units is 1800.

We follow these steps in order to arrive at the answer:

First we find the Contribution for each product

Heater Selling Price Variable Cost       Contribution

Large     250                120             250-120 =130

Small      80                 30             80-30 =50


Then, we find the weighted average contribution of the products like this:

Heaters No. of units Contribution             Weighted Average

Large      700                130     130 * \frac{700}{2800} = 32.5

Small      2100                 50    50 * \frac{2100}{2800} = 37.5         Total            2800                                                      70

Finally we calculate the company wide break even point (BEP) as follows:

BEP_{units} =  \frac{Fixed Costs}{Weighted Average Contribution}

BEP_{units} =  \frac{126000}{70}

BEP in units is 1800 units.



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