Module 9.5 Profit Maximization and Market Analysis

Marginal Analysis and Profit Maximization

  • A firm maximizes profits by producing where marginal revenue (MR) equals marginal cost (MC).
  • In perfect competition, marginal revenue equals the price since firms are price takers.
  • Firms produce where price = marginal cost.
  • However, this does not ensure economic profits; it signifies optimal production given market conditions.

Economic Profits Calculation

  • Profit Formula:
    • Profit = Total Revenue - Total Cost
    • Can be rewritten as: Profit = (Price - Average Total Cost) × Quantity
  • Profit reflects the difference between total revenue and total costs.
  • It can also be expressed as the difference between earnings on each unit sold and the average cost of producing those units.

Example: Amir's Farm

  • At a price of $4 for berries:
    • Marginal Cost = Price = $4 at a quantity of 80 units.
    • Total Revenue: $320 (80 packs × $4)
    • Total Cost: $264
    • Profit: $320 - $264 = $56.
    • Average Total Cost: $3.30.
  • Graphical representation shows:
    • Price - Average Total Cost = $4 - $3.30 = $0.70 profit per unit x 80 units = $56.

Effect of Price Change on Profit

  • If price drops to $2.60:
    • Profit maximizing quantity is still where MR = MC, at 60 units.
    • Average Total Cost at this quantity = $3.20.
    • Economic Loss:
    • Revenue per pack = $2.60, Total Revenue = $156 (60 packs × $2.60)
    • Loss: $2.60 - $3.20 = -$0.60 per unit x 60 units = -$36.
  • Key Relationship:
    • When Price > Average Total Cost, the firm makes a profit.
    • When Price < Average Total Cost, the firm incurs losses.
    • The breakeven point occurs when Price = Average Total Cost (zero economic profit).

Short Run Decision Making

  • When dealing with losses, should the firm shut down?
  • Focus on short run decisions:
    • Fixed Costs: Already incurred; cannot be recovered (sunk costs).
    • Important consideration in the short run: whether price can cover variable costs.
  • If Price > Average Variable Cost (AVC):
    • The firm minimizes losses by continuing operations.
  • If Price < Average Variable Cost:
    • The firm incurs a loss on every unit sold and should shut down immediately.
Specifics on Amir's Farm
  • With a price of $2.60:
    • Average Variable Cost = $2.16
    • Net earnings: $2.60 - $2.16 = $0.44 per unit.
    • Continuing operation results in a loss of $36 instead of $62 (if shut down).
    • Thus, maintain production when sufficient to cover variable costs.

Graphical Analysis

  • Axes: Quantity (X-axis) & Price (Y-axis).
  • Cost Curves: Marginal Cost curve (U-shaped), Average Total Cost curve, Average Variable Cost curve.
  • Decision Points:
    • If Price < AVC, shut down (0 units).
    • If AVC < Price < ATC, produce where Price = MC (short-run loss but less severe than shutting down).
    • If Price > ATC, operate at a profit.

Summary Points

  • Shutdown Point: occurs when Price < AVC.
  • Profit and Loss Status:
    •  Economic Profits (Price > ATC)
    • Short-run production (between AVC and ATC)
    • Shutdown (Price < AVC)
  • The next focus will be on adjustments and scenarios in the long run where all costs can vary and production technology can change.