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Learn about the importance of marginal analysis in analyzing output, price, and profit. Understand how firms determine the optimal level of production and price to maximize their total profit.
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CH7 : Output, Price, and Profit : The Importance of Marginal Analysis Asst. Prof. Dr. Serdar AYAN
Total Fixed Costs Average Fixed Costs = Quantity Total Variable Costs Average Variable Costs = Quantity SHORT-RUN PRODUCTION COSTS Fixed Costs Total Fixed Costs Variable Costs Total Variable Costs
Total Costs Average Total Cost = Quantity Change in Total Costs Marginal Cost = Change in Quantity SHORT-RUN PRODUCTION COSTS Total Cost = Total Fixed + Variable Costs Marginal Cost Total Variable Costs
SHORT-RUN PRODUCTION COSTS Summary of Definitions Total Fixed Costs =TFC Total Variable Costs =TVC Total Costs =TC Average Fixed Costs =AFC Average Variable Costs =AVC Average Total Costs =ATC Marginal Cost =MC
SHORT-RUN COSTS GRAPHICALLY TC TVC Costs (dollars) TFC Quantity
LONG-RUN PRODUCTION COSTS Unit Costs Output
LONG-RUN PRODUCTION COSTS The Long-run ATC just “envelopes” all of the short-run ATC curves Unit Costs Output
LONG-RUN PRODUCTION COSTS Unit Costs Long-run ATC Output
ECONOMIES AND DISECONOMIES OF SCALE Constant returns to scale Diseconomies of scale Economies of scale Unit Costs Long-run ATC Output
Price and Quantity: One Decision, Not Two • Firms face a demand curve on which price and quantity are related. • They can choose either price or quantity, but not both.
D a b c 26 d Profit maximum e 22 f g 19 h 16 i j D FIGURE 7-1 Demand Curve for Al’s Garages 35 30 25 20 Price per Garage (thousands $) 15 10 5 0 1 2 3 4 5 6 7 8 9 10 Output, Garages Marketed per Year .
Total Profit • Simplifying assumption: maximum total profit is the firm’s goal. • Total profit = total revenue - total costs
Total Profit • Total, Average, and Marginal Revenue • Total Revenue = P Q • Average Revenue = TR/Q = (P Q)/Q = P • Marginal Revenue = total revenue from one more unit of output = TR/Q. • Marginal Cost = total cost from one more unit of output = TC/Q.
H G I J F TR E D C B A FIGURE 7-2 Total Revenue Curve for Al’s Garages 140 120 100 80 60 Total Revenue per Year (thousands $) 40 20 0 1 2 3 4 5 6 7 8 9 10 Output, Garages Sold per Year
TC FIGURE 7-3 (a) Cost Curves for Al’s Garages 200 180 160 140 120 Total Cost per Year (thousands $) 100 80 60 40 20 0 1 2 3 4 5 6 7 8 9 10 Output, Garages per Year (a) Total Cost
FIGURE 7-3 (b) Cost Curves for Al’s Garages 45 40 35 30 25 Average Cost per Garage (thousands $) AC 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 Output, Garages per Year (b) Average Cost
MC FIGURE 7-3 (c) Cost Curves for Al’s Garages 50 45 40 35 30 Marginal Cost per Added Garage (thousands $) 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 Output, Garages per Year (c) Marginal Cost
Total Profit • Maximization of Total Profits • Profits typically increase with output, then fall. • Some intermediate level of output, therefore, generates the maximum profit.
Marginal Analysis and Maximization of Total Profit • Marginal profit is the slope of the total profit curve. • Profit is at a maximum when the marginal profit is zero.
TC TR A Profit 96 74 22,000 B FIGURE 7-4 (a) Profit Maximization 200 180 160 140 120 Total Revenue, Total Cost per Year (thousands $) 100 80 60 40 20 0 1 2 3 4 5 6 7 8 9 10 Output, Garages per Year (a) Total Revenue. Total Cost
Total profit M 34 F E C D FIGURE 7-4 (b) Profit Maximization 40 20 0 9 2 3 4 5 6 7 8 10 1 Total Profit per Year (thousands $) –20 –40 –60 –80 Output, Garages per Year (b) Total Profit
Marginal Analysis and Maximization of Total Profit • Optimum Marginal Revenue and Marginal Cost • If MR > MC, production profits • If MR < MC, production profits • Profit maximizing level out output: MR = MC
MC E MR Output, Garages per Year (a) Marginal Revenue and Marginal Cost FIGURE 7-5(a) Profit Maxim: Another Graphical Interpretation 50 40 30 MR and MC per Garage per Year (thousands $) 20 10 0 1 2 3 4 5 6 7 8 9 10 –10
Marginal Analysis and Maximization of Total Profit • Finding the Optimal Price from Optimal Output • MR = MC: rule for determining the level of output • Demand curve price buyers will pay to purchase that level of output • Both output and price are now determined for the profit maximizing firm.
Logic of Marginal Analysis & Maximization • Application: Fixed Cost and Profit Maximization • An increase in fixed costs does not change optimal output or price because it does not affect marginal costs.