Hayduke Corporation reported the following results from the sale of 5,000 units in May: sales $300,000, variable costs $180,000, fixed costs $90,000, and net income $30,000. Assume that Hayduke increases the selling price by 5% on June 1. How many units will have to be sold in June to maintain the same level of net income?

4,444.44 units

Explanation:

For the computation of Number of units to be sold to earn target profit first we need to follow some steps which are shown below:-

Selling price per unit = Sales ÷ Number of units sold

= $300,000 ÷ 5,000

= $60

Variable cost per unit = Total variable cost ÷ Number of units sold

= $180,000 ÷ 5,000

= $36

Increase in selling price = $60 × 5%

= $3

New selling price per unit = $60 + $3

= $63

New contribution margin per unit = New selling price per unit - Variable cost per unit

= $63 - $36

= $27

Number of units to be sold to earn target profit = (Fixed cost + Target profit) ÷ Contribution margin per unit

= ($90,000 + $30,000) ÷ $27

= $120,000 ÷ $27

= 4,444.44 units