Chapter 11: Managerial Decisions in Competitive Markets McGraw-Hill/Irwin Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved. Perfect Competition • Firms are price-takers • Each produces only a very small portion of total market or industry output • All firms produce a homogeneous product • Entry into & exit from the market is unrestricted 11-2 Demand for a Competitive Price-Taker • Demand curve is horizontal at price determined by intersection of market demand & supply • Perfectly elastic • Marginal revenue equals price • Demand curve is also marginal revenue curve (D = MR) • Can sell all they want at the market price • Each additional unit of sales adds to total revenue an amount equal to price 11-3 Demand for a Competitive Price-Taking Firm (Figure 11.2) Price (dollars) Price (dollars) S P0 P0 D = MR D 0 Q0 Quantity Panel A – Market 0 Quantity Panel B – Demand curve facing a price-taker 11-4 Profit-Maximization in the Short Run • In the short run, managers must make two decisions: 1. Produce or shut down? If shut down, produce no output and hires no variable inputs If shut down, firm loses amount equal to TFC 2. If produce, what is the optimal output level? If firm does produce, then how much? Produce amount that maximizes economic profit Profit = π = TR - TC 11-5 Profit-Maximization in the Short Run • In the short run, the firm incurs costs that are: • Unavoidable and must be paid even if output is zero • Variable costs that are avoidable if the firm chooses to shut down • In making the decision to produce or shut down, the firm considers only the (avoidable) variable costs & ignores fixed costs 11-6 Profit Margin (or Average Profit) • Level of output that maximizes total profit occurs at a higher level than the output that maximizes profit margin (& average profit) • Managers should ignore profit margin (average profit) when making optimal decisions ( P ATC )Q Average profit Q Q P ATC Profit margin 11-7 Short-Run Output Decision • Firm will produce output where P = SMC as long as: • Total revenue ≥ total avoidable cost or total variable cost (TR TVC) • Equivalently, the firm should produce if P AVC 11-8 Short-Run Output Decision • The firm will shut down if: • Total revenue cannot cover total avoidable cost (TR < TVC) or, equivalently, P AVC • Produce zero output • Lose only total fixed costs • Shutdown price is minimum AVC 11-9 Fixed, Sunk,& Average Costs • Fixed, sunk, & average costs are irrelevant in the production decision • Fixed costs have no effect on marginal cost or minimum average variable cost—thus optimal level of output is unaffected • Sunk costs are forever unrecoverable and cannot affect current or future decisions • Only marginal costs, not average costs, matter for the optimal level of output 11-10 Profit Maximization: P = $36 (Figure 11.3) 11-11 Profit Maximization: P = $36 (Figure 11.3) 11-12 Profit Maximization: P = $36 (Figure 11.4) Break-even point Panel A: Total revenue & total cost Break-even point Panel B: Profit curve when P = $36 11-13 Short-Run Loss Minimization: P = $10.50 (Figure 11.5) Profitcost = $3,150 Total = $17 -x$5,100 300 = -$1,950 = $5,100 Total revenue = $10.50 x 300 = $3,150 11-14 Summary of Short-Run Output Decision • AVC tells whether to produce • Shut down if price falls below minimum AVC • SMC tells how much to produce • If P minimum AVC, produce output at which P = SMC • ATC tells how much profit/loss if produce π = (P – ATC)Q 11-15 Short-Run Supply Curves • For an individual price-taking firm • Portion of firm’s marginal cost curve above minimum AVC • For prices below minimum AVC, quantity supplied is zero • For a competitive industry • Horizontal sum of supply curves of all individual firms; always upward sloping • Supply prices give marginal costs of production for every firm 11-16 Short-Run Producer Surplus • Short-run producer surplus is the amount by which TR exceeds TVC • The area above the short-run supply curve that is below market price over the range of output supplied • Exceeds economic profit by the amount of TFC 11-17 Computing Short-Run Producer Surplus (Figure 11.6) Producer surplus TR TVC $9 110 $5.55 110 $990 $610 $380 Or, equivalently, Producer surplus = Area of trapezoid edba in Figure 11.6 = Height Average base 80 110 ($9 $5) 2 $380 $380 multiplied by 100 firms ($380 100) $38,000 11-18 Short-Run Firm & Industry Supply (Figure 11.6) 11-19 Long-Run Profit-Maximizing Equilibrium (Figure 11.7) Profit = ($17 - $12) x 240 = $1,200 11-20 Long-Run Competitive Equilibrium • All firms are in profit-maximizing equilibrium (P = LMC) • Occurs because of entry/exit of firms in/out of industry • Market adjusts so P = LMC = LAC 11-21 Long-Run Competitive Equilibrium (Figure 11.8) 11-22 Long-Run Industry Supply • Long-run industry supply curve can be flat (perfectly elastic) or upward sloping • Depends on whether constant cost industry or increasing cost industry • Economic profit is zero for all points on the long-run industry supply curve for both types of industries 11-23 Long-Run Industry Supply • Constant cost industry • As industry output expands, input prices remain constant, & minimum LAC is unchanged • P = minimum LAC, so curve is horizontal (perfectly elastic) • Increasing cost industry • As industry output expands, input prices rise, & minimum LAC rises • Long-run supply price rises & curve is upward sloping 11-24 Long-Run Industry Supply for a Constant Cost Industry (Figure 11.9) 11-25 Long-Run Industry Supply for an Increasing Cost Industry (Figure 11.10) Firm’s output 11-26 Economic Rent • Payment to the owner of a scarce, superior resource in excess of the resource’s opportunity cost • In long-run competitive equilibrium firms that employ such resources earn zero economic profit • Potential economic profit is paid to the resource as economic rent • In increasing cost industries, all long-run producer surplus is paid to resource suppliers as economic rent 11-27 Economic Rent in Long-Run Competitive Equilibrium (Figure 11.11) 11-28 Profit-Maximizing Input Usage • Profit-maximizing level of input usage produces exactly that level of output that maximizes profit 11-29 Profit-Maximizing Input Usage • Marginal revenue product (MRP) • MRP of an additional unit of a variable input is the additional revenue from hiring one more unit of the input TR MRP P MP L • If choose to produce: • If the MRP of an additional unit of input is greater than the price of input, that unit should be hired • Employ amount of input where MRP = input price 11-30 Profit-Maximizing Input Usage • Average revenue product (ARP) • Average revenue per worker TR ARP P AP L • Shut down in short run if ARP < MRP • When ARP < MRP, TR < TVC 11-31 Profit-Maximizing Labor Usage (Figure 11.12) 11-32 Implementing the Profit-Maximizing Output Decision • Step 1: Forecast product price • Use statistical techniques from Chapter 7 • Step 2: Estimate AVC & SMC • AVC = a + bQ + cQ2 • SMC = a + 2bQ + 3cQ2 11-33 Implementing the Profit-Maximizing Output Decision • Step 3: Check shutdown rule • If P AVCmin then produce • If P < AVCmin then shut down • To find AVCmin substitute Qmin into AVC equation Qmin b 2c 2 AVCmin a bQmin cQmin 11-34 Implementing the Profit-Maximizing Output Decision • Step 4: If P AVCmin, find output where P = SMC • Set forecasted price equal to estimated marginal cost & solve for Q* P = a + 2bQ* + 3cQ*2 11-35 Implementing the Profit-Maximizing Output Decision • Step 5: Compute profit or loss • Profit = TR – TC = P x Q* - AVC x Q* - TFC = (P – AVC)Q* - TFC • If P < AVCmin, firm shuts down & profit is -TFC 11-36 Profit & Loss at Beau Apparel (Figure 11.13) 11-37 Profit & Loss at Beau Apparel (Figure 11.13) 11-38