Question

Fern Corporation manufacturers a single product that has a selling price of $15.00 per unit. Fixed expenses total $51,000 per year, and the company must sell 8,500 units to break even. If the company has a target profit of $15,000, sales in units must be:

Answer 1

11,000

Step-by-step explanation:

The breakeven point is the number of units that must be sold such that the total sales becomes equal to the total cost. The total cost is made of the fixed and variable cost.

Given

selling price = $15.00 per unit

Fixed expenses total = $51,000 per year

Breakeven units = 8500

let the variable cost per unit be y

15(8500) = 8500y + 51000

8500y = 127500 - 51000

y = 76500 /8500

y = $9

To make a profit of $15,000, let required sales unit be T

15T - (51000 + 9T) = 15000

6T = 15000 + 51000

6T = 66000

T = 11,000

To make a profit of $15,000, sales in unit must be 11,000