Break even analysis
TFC = Wages & fringe benefits + Rent + Accounting services + Depreciation + Utilities + Supplies
Break even at BEP
OP.INC assumed to be 0 = Total cost - cost of goods sold
- TR - TC = 0 = Sales ($) - VC - pre-tax INCOME (UP • X) - TFC - (UVC • X) = 0
- Solve for X
- Cost unit only have you if per multiply to remember
- X = TFC *
- Sales ($) = TFC * UNITS OF NUMBER
See table UP - UVC
- % CM Contribution margin = (UP • X) - (UVC • X) = unitary CM if more products total
- %CM UNIT CM = (UP - UVC)
- You do not have UVC:
- 1) X = sales →
- 2) UVC = total VC
- % CONTRIBUTION MARGIN = CM remains constant UP X sales sales total sales not volume need to add the tax%
Cash flow break-even point
- CM when O.I equals 0 = TOTAL FIXED COST value in order to have the
- Cash fixed costs = total fixed costs - depreciation
- Scarse CM = prod. unit CM real depreciation cost = total fixed cost - (depreciation + …%) used instead of %CM
- X = CASH FIXED COSTS weighted CM unit = Σ uCM • weight%
Multi product
- UP - UVC Sum TFC; %CM (=ΣCM : t.sales)
Minimum price sales
- UP = TFC + (UVC • Q) Minimum price = unit variable costs + shipping costs + tot fixed costs
- Other way Q if target O.I is +… % of sales
Target profit (= operating income)
- Compute total CM% Product mix - split $
- Total sales = …%s + TFCs → s = TFC or PROFIT contribution margin CM% CM% - …%
- Find total BEP $
- X
- UP - X • UVC - TFC = OPERATING INCOME
- Weight% = unit of product → X = TFC + target O.I
- UP = TFC + target O.I (required number of units sold) (required dollar sales) total sales (UP - UVC) % CM
- Split value = $ • weight%
Unitary price
- Quantity = split value
When fixed costs increase
- When UVC increase of …% | Keeping same CM%
- UP
- Total sales $ = TFC + nFC
- Current CM% = UP - UVC n = new CM%
- New UVC = UVC + …% p = projected
- New UP = nUVC1 - cCM%
Volume of sales
- Same income | same UP | UVC + …%)
- Pre-tax INCOME = (UP - UVC) • X - TFC
- Projected income statement (w/ expected sales volume) nUVC = UVC + …%
- X = TFC + INCOME Find new UVC and solve for X (UP - nUVC)
- Volume of sales in DOLLARS = Revenues TR = X • UP*
Taxes are irrelevant if constant = we use pre-tax income for computation
Formula
- (UP • X) = TFC + (UVC • X) + INCOME TARGET: after-tax income of …
Explanation
- Find pre-tax income Profits increases faster
- PRE-TAX INCOME = after-tax income : (1 - …% tax percentage)
- Than volume of sales if we have most of the expenses fixed.
- X = TFC + INCOME (UP - UVC)
Operating leverage
- Compute the degree of OPERATING LEVERAGE [: change in profit caused by change in volume]
- Operating leverage = contribution margin → higher operating leverage = higher changes in profit