Production Costs and Entry & Exit - Exam Notes
Accounting vs Economic Profits
- Accounting Profit: Total revenue minus explicit financial costs.
- Economic Profit: Total revenue minus explicit financial costs and implicit opportunity costs.
Implicit Opportunity Costs
- Forgone Wages: Potential earnings from the next best career option.
- Forgone Interest: Potential interest earned from investing capital elsewhere.
- Cost of Capital: Minimum payment to secure capital, including interest on debt and expected return on equity.
Production Costs
- Variable Costs: Costs that vary with production level and are paid only when used.
- Fixed Costs: Costs that do not vary with production level and must be paid regardless of production.
- Total Cost: Sum of fixed and variable costs.
Average Costs
- Average Total Cost (ATC): Cost per unit of output. ATC = \frac{Total Cost}{Quantity}
- Average Variable Cost (AVC): Variable costs per unit of output. AVC = \frac{Total Variable Cost}{Quantity}
- Average Fixed Cost (AFC): Fixed costs per unit of output. AFC = \frac{Total Fixed Cost}{Quantity}
Cost Curves Relationships
- Marginal cost and average variable cost start at the same point because marginal costs are variable, so for the first unit, MC = AVC.
- AFC is downward sloping due to fixed costs being spread over larger quantities.
- Total fixed costs are represented by the area under the AFC curve (AFC * Q).
- The distance between ATC and AVC is equal to AFC.
- ATC is U-shaped because initially decreasing AFC has a strong effect, but eventually increasing AVC dominates.
- Marginal cost (MC) intersects ATC at the minimum of ATC.
Minimum Efficient Scale (MES)
- MES is the level of production that minimizes average costs, occurring where MC = ATC.
- Steps to calculate MES and minimum ATC:
- Calculate ATC by dividing total cost (TC) by quantity (Q).
- Set ATC equal to MC and solve for Q* (the MES).
- Plug Q* back into ATC to find the minimum ATC.
- Example:
- Total Cost = 32 + 2Q^2
- Marginal Cost = 4Q
- ATC = \frac{32}{Q} + 2Q
- \frac{32}{Q^} + 2Q^ = 4Q^*
- \frac{32}{Q^} = 2Q^
- 32 = 2Q^{*2}
- 16 = Q^{*2}
- Q^* = 4
- MES = 4
- ATC_{min} = \frac{32}{4} + 2 * 4 = 16
Economies and Diseconomies of Scale
- Economies of Scale: ATC decreases as quantity increases.
- Diseconomies of Scale: ATC increases as quantity increases.
- Constant Returns to Scale: ATC remains constant as quantity changes.
- Economies of scale are often due to declining average fixed costs.
- Diseconomies of scale are often due to rising variable costs, such as overtime payments or diminishing marginal productivity.
Profit Margin and Average Costs
- Profits are represented by (P - AC) * Q, where P is price, AC is average cost, and Q is quantity.
Shutdown Condition
- In the long run, firms will exit an industry if they are earning a loss.
- Shutdown Condition: Shutdown (Q=0) if P < AC{minimum}, and produce at P=MC when P >= AC{minimum}.
- Following P=MC may lead to losses if fixed costs are not covered.
Short-Run vs. Long-Run
- Short-Run: Production capacity cannot change, firms are locked into fixed costs, and firms cannot enter or exit.
- Long-Run: Production capacity can change, firms are not locked into fixed costs, and new firms may enter or existing firms may exit.
Short-Run Losses & Shutdown Condition
- In the short-run firms produce at P=MC so long as P>AVC, which is the short-run shutdown condition.
Long-Run Competitive Equilibrium
- In the long-run, new firms can enter if existing firms are earning an economic profit (P > AC_min).
- Entry of new firms shifts the market supply function, decreasing market price.
- In the long-run, price must equal the minimum average cost (P = AC_{min}).
- Long-run market supply function is approximately a flat horizontal line at the minimum average total cost.
- Economic profits are zero in the long-run (Economic Profits = (P - ATC) * Q = 0).
- Zero economic profits mean firms are doing as well as their next best alternative.
Long-Run Economic Profits & Barriers to Entry
- If economic profits persist in the long-run, there must be barriers to entry.
- Barriers to entry can include:
- Regulatory or legal barriers
- Demand-side factors (customer lock-in)
- Supply-side factors (unique cost advantages)
- Deterrence (aggressive practices to discourage entry)
Barriers to Entry Examples
- Regulatory or Legal: Patents, licenses, regulatory compliance costs.
- Demand-Side: Customer lock-in.
- Supply-Side: Cost advantages, large fixed costs, technical capabilities.
- Deterrence: Aggressive practices to discourage new entrants.