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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)

  1. Compute total CM% Product mix - split $
  2. 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

Cash movements

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Scienze economiche e statistiche SECS-P/08 Economia e gestione delle imprese

I contenuti di questa pagina costituiscono rielaborazioni personali del Publisher EMMAMNRT di informazioni apprese con la frequenza delle lezioni di Management accounting e studio autonomo di eventuali libri di riferimento in preparazione dell'esame finale o della tesi. Non devono intendersi come materiale ufficiale dell'università Università degli studi Ca' Foscari di Venezia o del prof Mio Chiara.
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