Question

James, Inc., has purchased a brand new machine to produce its High Flight line of shoes. The machine has an economic life of 5 years. The depreciation schedule for the machine is straight-line with no salvage value. The machine costs $540,000. The sales price per pair of shoes is $77, while the variable cost is $29. Fixed costs of $245,000 per year are attributed to the machine. The corporate tax rate is 22 percent and the appropriate discount rate is 9 percent. What is the financial break-even point? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16)

Answer 1

Answer:

3,074 units sold or total revenue of $236,698 per year

Explanation:

cost of machine $540,000

depreciation expense per year = $540,000 / 5 = $108,000

contribution margin per unit sold = $77 - $29 = $48

we generally calculate the financial break even point of a business by using the following formula:

= EBIT × (1 - interest expense) × (1 - tax rate) - preferred dividends

But when we are dealing with projects, the financial break even point is the sales level at which the project's NPV = $0. If the sales level is lower, then the project will be rejected, and if the sales level is higher, then it should be accepted.

using an annuity formula, the free cash flow per year needed for the NPV = $0 is $540,000 / 3.8897 (PV annuity factor, 9%, 5 periods) = $138,828.19

$138,828.19 = {[(unit sales x $48) - $108,000] x 0.78} + $108,000

$30,828.19 = [(unit sales x $48) - $108,000] x 0.78

$39,523.32 = (unit sales x $48) - $108,000

$147,523.32 = unit sales x $48

unit sales = $147,523.32 / $48 = 3,073.40 units ≈ 3,074 units sold