Chapter 11 Perfect Competition Main Assumption Economists assume that the goal of firms is to maximize economic profit. Max P*Q – TC =Π= TR – TC : Issue – measuring Costs Q 11-1 Chapter Outline • The Goal Of Profit Maximization The Four Conditions For Perfect Competition The Short-run Condition For Profit Maximization The Short-run Competitive Industry Supply Short-run Competitive Equilibrium Producer Surplus Adjustments In The Long Run The Invisible Hand Application: The Cost Of Extraordinary Inputs The Efficiency Of Short-run Competitive Equilibrium The Long-run Competitive Industry Supply Curve The Elasticity Of Supply Applying The Competitive Model 11-2 Profits Firms exist to maximize economic profits and not accounting profits Economic profit --the difference between total revenue and total cost, where total cost includes all costs—both explicit and implicit—associated with resources used by the firm. Accounting profit --is simply total revenue less all explicit costs incurred. – does not subtract the implicit costs. The Short-run Condition For Profit Maximization To maximize profit the firm will choose that level of output for which the difference between total revenue and total cost is largest. 11-3 The Four Conditions For Perfect Competition 1. 2. 3. 4. Firms Sell a Standardized Product The product sold by one firm is assumed to be a perfect substitute for the product sold by any other. Firms Are Price Takers This means that the individual firm treats the market price of the product as given. Free Entry and Exit With Perfectly Mobile Factors of Production in the Long Run Firms and Consumers Have Perfect Information The Short-run Condition For Profit Maximization Marginal revenue: the change in total revenue that occurs as a result of a 1-unit change in sales. To maximize profits the firm should produce a level of output for which marginal revenue is equal to marginal cost on the rising portion of the MC curve. 11-4 Figure 11.2: Revenue, Cost, and Economic Profit Price =$18 Π =TR - TC IRTS DRTS 11-5 Figure 11.3: The Profit-Maximizing Output Level in the Short-Run A The firm should produce where MR = MC (the rising portion of it – Point A In PC, P = MR and the firm sets MR = MC. Thus, P = MC at equilibrium 11-6 Figure 11.4: The Short-Run Supply Curve of a Perfectly Competitive Firm =S The Shutdown Condition Shutdown condition: if price falls below the minimum of average variable cost, the firm should shut down in the short run, i.e. P < AVC The short-run supply curve of the perfectly competitive firm is the rising portion of the short-run marginal cost curve that lies above the minimum value of the average variable cost curve 11-7 Figure 11.5: The Short-Run Competitive Industry Supply Curve 11-8 Figure 11.6: Short-Run Price and Output Determination under Pure Competition Profit = P*Q – ATC*Q =20*80 -12*80 =$640 Or Π= (P –ATC*Q = ($20 - $12)*80 =$640 The firm responds to the market price by producing Q =80 at that price., i.e. the firm is a price taker (P* =$20) The optimal output is where MR = MC or P = MC 11-9 Figure 11.7: A Short-Run Equilibrium Price that Results in Economic Losses A Short-run Competitive Equilibrium Even though the market demand curve is downward sloping, the demand curve facing the individual firm is perfectly elastic (εP= ∞) Breakeven point: the point at which price equal to the minimum of average total cost. --The lowest price at which the firm will not suffer negative profits in the short run. 11-10 Figure 11.8: Short-run Competitive Equilibrium is Efficient =S The Efficiency Of Short-run Competitive Equilibrium Allocative efficiency: a condition in which all possible gains from exchange are realized. 11-11 Figure 11.9: Two Equivalent Measures of Producer Surplus PS = P*Q* - AVC*Q = TR - VC PS = P*Q* - Area under MC Producer Surplus A competitive market is efficient when it maximizes the net benefits to its participants. Producer surplus: the dollar amount by which a firm benefits by producing a profit-maximizing level of output. Profit = TR – TC and TC =VC+FC so PS = TR –VC = TR -(TC – FC) = TR –TC +FC 11-12 Figure 11.10: Aggregate Producer Surplus When Individual Marginal Cost Curves are Upward Sloping Throughout Figure 11.11: The Total Benefit from Exchange in a Market 11-13 Figure 11.12: Producer and Consumer Surplus in a Market Consisting of Careful Fireworks Users CS= ½ base x height =1/2(50 – 30) x 20,000 =$200,000.00 PS= ½ base x height =1/2(30 – 10) x 20,000 =$200,000.00 Total or Aggregate Surplus = CS + PS = $400,000.00 11-14 Figure 11.13: A Price Level that Generates Economic Profit Positive Economic profits invite ENTRY by new firms. 11-15 Figure 11.14: A Step along the Path Toward LongRun Equilibrium Entry is not complete as profits are still positive A Adjustments In The Long Run Positive economic profit creates an incentive for outsiders to enter the industry. As additional firms enter the industry the industry supply curve to the right. This adjustment will continue until these two conditions are met: (1) Price reaches the minimum point on the LAC curve (2) All firms have moved to the capital stock size that gives rise to a shortrun average total cost curve that is tangent to the LAC curve at its minimum point. (=ATC3 is tangent to minimum LAC at Point A) 11-16 Figure 11.15: The Long-Run Equilibrium under Perfect Competition As prices adjustment downwards towards P*, firms enter until P* where 1. P= minimum ATC - Zero Economic Profit 2. P= minimum LAC Zero Economic Profit 3. P = SMC = LMC 4. Minimum ATC = Minimum LAC --- Least Cost 5. Q* is the optimal output both in the SR and LR These are the fundamental benchmark results from PC 11-17 The Invisible Hand Why are competitive markets attractive from the perspective of society as a whole? Price is equal to Marginal Cost. • The last unit of output consumed is worth exactly the same to the buyer as the resources required to produce it, i.e. no gouging of consumers by firms. Price is equal to the minimum point on the long-run average cost curve, i.e. firms zero economic profits in the LR. There is no less costly way of producing the product. All producers earn only a normal rate of profit. • The public pays not a penny more than what it cost the firms to serve them. 11-18 Figure 11.16: The Long-Run Competitive Industry Supply Curve The Long-run Competitive Industry Supply Curve (SLR) Constant cost Industries: long-run supply curve is a horizontal line at the minimum value of the LAC curve. 11-19 Figure 11.17: Long-Run Supply Curve for an Increasing Cost Industry The Long-run Competitive Industry Supply Curve Increasing cost industries: long-run supply curve is upward sloping. Decreasing cost industries: long-run supply curve is downward-sloping. 11-20 Figure 11.19: The Elasticity of Supply εS = (∆Q/∆P)* P/Q = P/Q *(1/slope) = P/Q *(dQ/dP) Price elasticity of supply: the percentage change in quantity supplied that occurs in response to a 1 percent change in product price. 11-21 Figure 11.20: Cost Curves for Family and Corporate Farms: Application 1 Family Farm Corporate Farms Market forces would drive market prices to P* < ATCF for family farms and P* = ATCC for corporate farms. It appears as if subsidizing corporate farms also benefits family farms! 11-22 Figure 11.21: The Short-Run Effect of Agricultural Price Supports As seen, agricultural support prices benefit corporate farms more than family farms! Bigger positive profits for corporate farms invites more entry by corporate farming entities: bid up the price of agricultural land or the rent and drive out more families from farming. As the scale of farms increases, so does technological needs – often beyond the capacity of family farms. With technological progress more family farms will be lost to large scale agriculture. 11-23 Figure 11.22: The Effect of a Tax on the Output of a Perfectly Competitive Industry Politicians often target corporations for a tax increase. Without taxes, Q*1 is produced. Assume a horizontal industry S curve so that P* is taken by the typical firm as given. A tax of T imposed on firms increases both the SMC and LAC by T so the level of output for the firm is unchanged at Q*1. However, the S shifts to SLR + T which reduces the industry output from Q*1 to Q*2. That is, firms have completely shifted the incidence of T to consumers! 11-24