Minden Company manufactures a high-quality wooden birdhouse that sells for $30 per unit. Variable costs are $6 per unit and fixed costs total $180,000. During 2018, the company sold 50,000 birdhouses to customers. The president of Minden Company believes the following changes should be made in 2019: 1. the selling price of the birdhouse should be increased by 20% 2. increase advertising by $30,000 Assume these changes are made. Calculate the number of units Minden Company must sell in 2019 in order to earn a net income that is 80% greater than the net income earned in 2018.
Sale price per unit | $30 | |
Less :- variable cost per unit | $6 | |
Contribution per unit | $24 | |
Total Contribution | ||
(50000 birdhouses x $24) | $1,200,000 | |
Less :- Fixed Cost | $180,000 | |
Profit for 2018 | $1,020,000 | |
Increase in profit 80% | $816,000 | |
Desired profit for 2019 | $1,836,000 | |
($1,020,000+$816,000) | ||
New Selling price for 2019 | $36 | |
($30+20% of $30) | ||
Less:- variable cost per unit | $6 | |
Contribution per unit | $30 | |
Now, | ||
Let suppose Desired quantity = Q | ||
Desired Profit= Contribution per unit x Q - ( increased advertisement exp.+ Fixed Cost | ||
$1,836,000 = 30 x Q - ( $30,000+$180,000) | ||
30Q = $1,836,000+$210,000 | ||
Q = 68,200 birdhouses | ||
Number of birdhouses should be sold by Minden Company in 2019 = 68,200 birdhouses | ||
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