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PPA 723: Managerial Economics Study Guide: Production, Cost, and Supply Managerial Economics, Study Guide Topics Short-run product curves Short-run cost curves Short-run firm supply Short-run market supply Input mix decision Long-run product curves Long-run cost curves Long-run firm supply Long-run market supply Managerial Economics, Study Guide Short-Run Product Curves Question: If some inputs (usually capital) are fixed (i.e. in the short run), how much output can a firm produce from different quantities of a variable input (usually labor)? Analytical Tools: Total product curve Average product curve Marginal product curve Key Concepts/Results Law of diminishing marginal product (MPL eventually slopes downward) MPL = APL at minimum of APL curve Managerial Economics, Study Guide Short-Run Cost Curves Question: If some inputs (usually capital) are fixed (i.e. in the short run), how much does it cost to produce various levels of output by varying a variable input (usually labor)? Analytical Tools: Average fixed cost curve Average variable cost curve Average total cost curve Marginal cost curve Key Concepts/Results Law of diminishing marginal productivity leads to upward sloping MC curve after some point U-shaped AVC (usually) and U-shaped ATC (always) MC = AVC at minimum of AVC MC = ATC at minimum of ATC Managerial Economics, Study Guide Short-Run Firm Supply Question: If some inputs (usually capital) are fixed (i.e. in the short run), what is the most profitable level of output for the firm to produce? Analytical Tools: Average variable cost curve Marginal cost curve In a competitive market, marginal revenue = market price = P Key Concepts/Results The firm shuts down (supply = 0) if P < minimum of AVC curve. If P > minimum of AVC curve, the firm sets P = MC, which implies that the MC curve is the supply curve. Managerial Economics, Study Guide Short-Run Market Supply Question: What does the market supply curve look like in the short run? Analytical Tools: SR firm supply curve Number of firms Key Concepts/Results The SR market supply curve is the horizontal summation of the firm supply curves for the firms in the market. The more firms in the market, the more elastic the SR market supply curve. Managerial Economics, Study Guide Long-Run Product Curves Question: If all inputs are variable (i.e. in the long run), how much output can a firm produce from combinations of inputs? Analytical Tools: Isoquant Key Concepts/Results Isoquants have the same properties as indifference curves, i.e. higher isoquants indicate more product, isoquants cannot slope upward, and isoquants cannot cross. The slope of an isoquant is MPL/MPK (with L on the horizontal axis). Constant returns to scale exist if product doubles when inputs double. Economies [diseconomies] of scale exist if product more than doubles [less than doubles] when inputs double. Managerial Economics, Study Guide The Input-Mix Decision Question: What is the least expensive input combination for producing a given output? Analytical Tools: Isoquants Isocost lines Key Concepts/Results: The least expensive input combination is at the tangency between an isocost line and the relevant isoquant. The slope of an isocost line is the wage rate over the capital rental rate = w/r (with labor on the horizontal axis). The least cost combination is where MPL/w = MPK/r, that is, where each input has the same MP per dollar of cost. Managerial Economics, Study Guide Long-Run Cost Curves Question: If all inputs are variable (i.e. in the long run), how much does it cost to produce various levels of output? Analytical Tools: Expansion path Long-run average cost curve Long-run marginal cost curve Key Concepts/Results Expansion path (from input-mix diagram) indicates the cost of every output at the optimal input mix, i.e. the long-run cost curve. LR MC = LR AC at minimum of LR AC SR cost LR cost Managerial Economics, Study Guide Long-Run Firm Supply Question: If all inputs are variable (i.e. in the long run), what is the most profitable level of output for the firm to produce? Analytical Tools: LR AC curve LR MC curve In a competitive market, marginal revenue = market price = P Key Concepts/Results The firm shuts down (supply = 0) if P < minimum of LR AC curve. If P > minimum of LR AC curve, the firm sets P = LR MC, which implies that the LR MC curve is the supply curve. Managerial Economics, Study Guide Long-Run Market Supply Question: What does the market supply curve look like in the long run? Analytical Tools: LR firm supply curve Entry and exit Key Concepts/Results Firms enter the market in response to economic profits and exit in response to losses—thereby altering the market price. LR equilibrium exists when no firms have an incentive to enter or exit, i.e. when economic profits equal zero. In LR equilibrium P = minimum LR AC With free entry and exist, the same costs for all firms, and constant input prices, the LR supply curve is horizontal.