In: Accounting
Gold Corporation invested $1,000,000 to obtain the capacity to produce widgets. Gold Corporation demands a 25% after tax annual return on its investment. The cost structure for Gold Corporation is as follows:
Direct materials $150 per widget
Direct labor $275 per widget
Variable overhead $125 per widget
Commissions $25 per widget
Fixed manufacturing: $175,000 per year
Fixed administrative: $150,000 per year G
old Corporation expects to produce and sell 14,000 widgets during the year. Calculate the selling price that Gold Corporation needs to charge per widget to earn a 25% after tax return on investment, assuming an income tax rate of 15%.
Income /profit after tax desired = 1,000,000*.25 = 250000
Income before tax = Income after tax /(1-tax)
= 250000/ (1-.15)
= 250000/.85
= $ 294117.65
Total variable cost per widget= 150+275+125+25= 575
Total variable cost = 575*14000= 8050000
Total cost= variable cost + fixed manufacturing +fixed administrative
= 8050000+175000+150000
= 8375000
Total sales required to earn desired profit = Total cost+ profit
= 8375000+294117.65
= 8669117.65
Selling price per widget = total sales /number of units
= 8669117.65 / 14000
= $ 619.22 per unit