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:
    1. Calculate ATC by dividing total cost (TC) by quantity (Q).
    2. Set ATC equal to MC and solve for Q* (the MES).
    3. 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.