Detailed Study Notes on Perfect Competition and Profit Maximization

Exam Preparation

• Exam Two scheduled for next class period
• Arrive on time to maximize test duration
• Exam format change: reduced from 50 questions to 40 questions
• Review sheet available on D2L for Exam Two content coverage

Course Content Overview

• Last class period introduced Chapter 10
• Important note: Chapter 10 will not be included in Exam Two; it will appear in Exam Three

Market Models Overview

• Focus on characteristics of four market models

Perfect Competition

• Characteristics:

  • Large numbers of buyers and sellers
  • Example discussed: Chesapeake Bay oyster harvesting industry
  • Ease of entry and exit in the market
  • Boats can transition from other industries (e.g., bay sailing, taxi service) to oyster harvesting when profitable and leave when losses occur

• Price Setting:

  • Price is determined in the industry, resulting in a perfectly elastic demand curve for each firm
  • Each firm produces at a given price; in this case, $1.31

• Demand and Revenue Curves:

  • Demand curve is horizontal at the price level
  • Total revenue graphically represented (specific quantities calculated):
  • Total Revenue at quantity 1: $1 imes 131 = 131$
  • Total Revenue at quantity 2: $2 imes 131 = 262$
  • Total Revenue at quantity 3: $3 imes 131 = 393$

• Key Revenue Calculations:

  • Marginal Revenue (MR) is constant at the price level for perfect competition:
  • MR = Change in Total Revenue / Change in Quantity
  • In this case, each quantity increase results in a marginal revenue of $131

• Average Revenue:

  • Calculation:
  • Average Revenue = Total Revenue / Quantity
  • At price $131$, Average Revenue = Price

Profit Maximization Techniques

Total Revenue - Total Cost (TR-TC) Approach

• Profit Maximization:
  • Identify quantity where the vertical distance between Total Revenue and Total Cost is greatest
  • Example provided:
  • Total Fixed Costs: $100$
  • Total Variable Costs: 0 when quantity is 0; only Total Fixed Costs exist
  • Graphical representation noted:
  • Total Revenue maximum at quantity 9, Total Revenue: $11.79$, Total Cost: $8.80$
• Graphical Analysis:
  • Intersection points marked as breakeven points where Total Cost = Total Revenue
  • Economic profit defined at the quantity where the profit is maximized

Marginal Cost - Marginal Revenue (MC-MR) Approach

• Rule:

  • Profit maximization occurs when Marginal Revenue equals Marginal Cost
  • The firm is a price taker; price is set in the industry involving concepts of constant price at $131$

• Data Analysis:

  • Average Fixed Cost, Variable Cost, Average Total Cost evaluated
  • Marginal Cost derived from previous data sets
  • Optimal production determined based on where MR = MC

• Economic Profit Verification:

  • If marginal cost is less than marginal revenue, the firm should operate at profit-maximizing quantity

Loss Minimization

• If price drops to $81$, compare MR and MC
  • Loss of $64$ when producing at this price level; still able to cover variable costs
• If price drops further to $71$, resulting loss escalates to approximately $115$
• Decision Rule:
  • If losses exceed Total Fixed Costs (e.g., producing at loss of $116$), it is optimal to produce zero output
  • When producing zero, firm only incurs fixed cost (loss limited to $100$)

Conclusion

• Review of profit maximization and loss minimization critical for understanding firm behavior under perfect competition
• Ensure familiarity with graphs and calculation methods presented in class to tackle exam questions and scenarios effectively.