A hospitality operation has sales revenue of $462,000 with variable cost averaging 44%. Fixed costs are $188,000. The owner wants a net income after tax of $50,400 based on a tax rate of 28%.

a. Calculate the total additional sales revenue needed to support the desired net income after tax.

b. Calculate the total sales revenue required to cover fixed costs, tax, and net income after tax.

A) Total Additional Sales Revenue =

B) Total Sales Revenue =

Explanation:

Requirement A

We know, according to the break-even formula, Target Profit = Target Sales - Variable expense - Fixed Cost - Tax

(according to the net income after tax)

As we need to find target sales, we do not have the variable expense and as the tax is based on the target profit, the new equation is -

Target Profit = (Sales - Variable expense - Fixed Expense) (1 - Tax Rate)

Target Profit = (Sales - Sales * 44% - $188,000) * (1 - 0.28)

$50,400 = (Sales - 0.44 Sales - $188,000) * 0.72

or, Sales - 0.44 Sales - $188,000 = $50,400 : 0.72

or, Sales - 0.44 Sales = $70,000 + $188,000

or, 0.56 Sales = $258,000

Sales = $258,000 : 0.56

Sales = $460,714 (Approx)

Therefore, the company does not need to sell more to cover the tax rate. The sale of the company will decrease by $1,286.

Req. B

The company's total sales revenue will be $460,714 to cover fixed costs, variable costs, and net income after tax.

It can be showed under the following calculation

Sales $460,714

Less: Variable expense (44% of sales) $ (202,714)

Contribution Margin $258,000

Less: Fixed Expense $ (188,000)

Net Income before tax $70,000

Less:Tax (70,000*28%) $ (19,600)

Net income after tax = $50,400