During May XYZ Company sold 9000 units and reported the foll
During May, XYZ Company sold 9,000 units and reported the following income statement: Sales ............................ $540,000 Variable costs ................... 216,000 Fixed costs ...................... 117,000 Net income ....................... $207,000 Calculate the number of units XYZ Company needed to sell in May in order to earn a target profit equal to 45% of sales.
Solution
Let units sold be x.
Variable cost per unit=(216000/9000)=$24
Selling price per unit=($540,000/9000)=$60
Hence target profit t=(60x*45%)=$27x
Hence target Contribution margin=fixed cost+target profits
=(117000+27x)
Contribution margin per unit=Sales-Variable cost
=(60-24)=$36
Hence total contribution margin=$36x
Hence
36x=117000+27x
x=117000/(36-27)
=13000 units.
