Response:
The company must sell 5,708 units to reach financial break-even.
Explanation:
We transform the investment in fixed assets into an annuity:
PV 148,000
time 3 years
rate 0.15
C $ 64,820.590
The amount above the annual fixed expense of 39,800 needs to increase by 21% to establish the pre-tax sales target.
The desired pre-tax contribution:
64,820.59 / 1.20 = 54,017.16
We also consider a depreciation aspect that provides a tax shield:
(148,000 / 3) * 21% = (10,360)
Next, let's compute the break-even point considering this sum:
39,800 + 54,017.16 - 10,360= 83,457.16 dollars
<peach unit="" yields="" dollars="" so="" we="" divide="" to="" find="" the="" annual="" sales="" in="" units:="">
83,457.16 / 14.62 = 5.708,42
</peach>