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BREAKEVEN ANALYSIS
VARIABLE COSTS (VC)
- Costs that are directly related to production or sales volume.
- As volume increases, TVC increases.
As volume decreases, TVC decreases.
- We usually assume that per-unit VCs are constant over a given range.
- e.g.:
- raw materials
- commissions
- commissions
- shipping
- etc.
FIXED COSTS (FC)
- Ongoing costs that are unrelated to production or sales volume.
- Generally constant over a fixed range.
- In the short run, they usually cannot be changed.
- e.g.:
- rent
- salaries of full time employees
- property taxes
- equipment payments
- etc.
TOTAL COST (TC)
- fixed costs + variable costs
PRICE (P)
- price/unit after discounts, etc.
- revenue per unit
TOTAL REVENUE (TR)
- P*Q = price x quantity sold
UNIT CONTRIBUTION (MR)
- margin/unit
- MR = (P - VC)
PROFIT (¶)
- aka Net Contribution
- profit:
- = TR - TC
- = TR - FC - TVC
- = P*Q - FC - Q(VC)
- = Q(P - VC) - VC
- = Q(MR) - FC
- when TR > TC, then profit
- when TR < TC, then loss
When does breakeven occur?
- when ¶ = zero = (TR - TC)
- when TR = TC
- recall
- ¶ = Q(MR) - FC
- 0 = Q(MR) - FC
- FC = Q(MR)
- FC/MR = Qbe
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