Breakeven/ Math Question....
JEFF wrote...
....
Net Sales 200,000 (or whatever)
Cost of Sales will always be 30% of Sales
Gross Margin = Sales - Cost of Sales
Operating Expenses fixed in this scenario
Income Before Taxes = Gross Margin - Operating Expenses
** Need to determine level of sales to realize an Income Before Tax of, say,
5%... Obviously, I could use Goal Seek, but really need it as a formula.
OK, the 5% means the ratio of income before taxes to net sales. So net
sales means total proceeds from sales less sales or excise taxes?
Anyway,
IBT = GM - OE
GM = NS - CoS
CoS = 0.3 * NS
so
GM = 0.7 * NS
IBT = 0.7 * NS - OE
Then
5% = 0.05 = IBT / NS = 0.7 - OE / NS
which rearranges to
NS = OE / 0.65
in this particular case. More generally, the formulas work out to
IBT = NS - CoS - OE
and profit margin is
IBT / NS = 1 - (CoS + OE) / NS
This may be solved for a target profit margin, TPM.
TPM = 1 - (CoS + OE) / NS
which rearranges to
NS = (CoS + OE) / (1 - TPM)
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