The Costs of Production Outline: – Study how firm’s decisions regarding prices and quantities depend on the market conditions they face – Firm’s costs are a key determinant of its production (supply curve) and its pricing decisions – Firm’s objective therefore is to maximize its profits – Profits= TR-TC The Costs of Production TR= Total Revenue= PxQ Total Revenue is the amount a firm receives from the sale of its output Total cost is the amount a firm pays to buy the units of production Economist’s interpretation of total cost includes the opportunity cost of production as well The Costs of Production A firm’s opportunity costs can be obvious at times and not so obvious at other times Explicit costs are input costs that require an outlay of money by the firm Implicit costs are input costs that do not require an outlay of money by the firm Economic Costs Versus Accounting Costs Accountants measure explicit costs (as it involves money flows) Economists use both explicit costs (wages, rent, cost of raw material) and implicit costs (foregone income) to arrive at the total cost of production The cost of capital is an opportunity cost due to the foregone interest on savings (implicit cost) Economic Profit Versus Accounting Profit Economic profit is the TR minus TC, including both explicit and implicit costs Accounting profit is the TR minus total explicit cost Therefore, economic profit is smaller than accounting profit Economic Profit Versus Accounting Profit Economic profit TR Accounting profit Implicit Costs OC Explicit costs Economist’s view TR Explicit costs Accountant's view Production and Costs What is the link between a firm’s production process and its total cost? – Fixed size of the firm – Labor is the only variable input – Decisions in the SR (# of labor to hire and quantity of output to produce) Production function is the relationship between the quantity of inputs used to make a good and the quantity of output of the good Production and Costs Marginal product is the increase in output that arises from an additional unit of input Diminishing marginal product is the property whereby the marginal product of an input declines as the quantity of the input increases The slope of the production function is given as the change in output for an additional input of labor. Slope of the production function measures the marginal product of input Production and Costs # workers 0 1 2 3 4 5 Output /hour 0 50 90 120 140 150 Wage=$10/ worker MP of L Cost of factory 30 50 30 40 30 30 30 20 30 10 30 Cost of workers 0 10 20 30 40 50 TC of inputs 30 40 50 60 70 80 Production function 160 140 120 Output/ hour 100 80 Output/hour 60 40 20 0 0 1 2 # Workers hired 3 4 5 Production Function and Total Cost Total cost curve shows the relationship between the quantity of output produced and the total cost of production Production function gets flatter as the amount of input increases (diminishing Marginal Product) Total cost curve gets steeper as the amount produced rises (production cost of a marginal unit of output increases) Measures of Cost Total Cost (TC) =TFC+TVC Fixed Costs (TFC) are costs that do not vary with the quantity of output (Q) produced Variable Costs (TVC) are costs that do vary with the quantity of output produced Average Cost (ATC) = TC/Q Average Fixed Cost (AFC)= TFC/Q Average Variable Cost (AVC)= TVC/Q Marginal cost (MC)= change in TC/change in Q MC is the increase in total cost that arises from an extra unit of production Production and Costs Cost of production has an impact on the firm’s production decisions – Cost of producing a typical unit of output (ATC) – Cost of producing an additional unit of output (MC) Cost curves and their shapes – X-axis measures the quantity produced – Y-axis measures the cost of production Q/hour TC FC VC AFC AVC ATC MC 0 2.00 2.00 0.00 - - - 1 3.00 2.00 1.00 2.00 1.00 3.00 1.00 2 3.80 2.00 1.80 1.00 0.90 1.90 0.80 3 4.40 2.00 2.40 0.67 0.80 1.47 0.60 4 4.80 2.00 2.80 0.50 0.70 1.20 0.40 5 5.20 2.00 3.20 0.40 0.64 1.04 0.40 6 5.80 2.00 3.80 0.33 0.63 0.96 0.60 7 6.60 2.00 4.60 0.29 0.66 0.95 0.80 8 7.60 2.00 5.60 0.25 0.70 0.95 1.00 9 8.80 2.00 6.80 0.22 0.76 0.98 1.20 10 10.20 2.00 8.20 0.20 0.82 1.02 1.40 11 11.80 2.00 9.80 0.18 0.89 1.07 1.60 12 13.60 2.00 11.60 0.17 0.97 1.14 1.80 13 15.60 2.00 13.60 0.15 1.05 1.20 2.00 14 17.80 2.00 15.80 0.14 1.13 1.27 2.20 Cost Curves: Total Cost, Fixed Cost, Variable Cost 20 18 Total cost Fixed Cost Variable cost 16 14 Cost 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 Output/hour 9 10 11 12 13 14 Average Costs 3.5 3 MC cuts ATC at its minimum point 2.5 ATC is U-shaped MC is greater than ATC, ATC is rising AFC Costs 2 AVC ATC 1.5 MC 1 Efficient scale of the firm 0.5 MC is less than ATC, ATC is falling 0 0 1 2 3 4 5 6 7 Output/ hour 8 9 10 11 12 13 Typical Cost Curves A firm’s cost curves exhibit the following common features: – MC eventually rises with the quantity of output – ATC is U-shaped – MC curve crosses the ATC at the minimum of ATC MC initially falls with increase in output but eventually rises as output increasesdiminishing marginal product Typical Cost Curves AFC declines as output increases but AVC increases as output increases- explains ATC’s U-shape The bottom of the U-shape occurs at the quantity that minimizes ATC. This quantity of output is called the efficient scale of the firm MC<ATC= ATC is falling MC>ATC= ATC is rising MC crosses ATC at the efficient scale of the firm Typical Cost Curves The combination of increasing and then decreasing MP also make the AVC Ushaped Both MC and AVC fall initially before rising with increase in output LR and SR costs In the SR the firm has to continue on the same cost curve chosen in the past In the LR the firm can choose to move to a different cost curve as FC become variable Economies of scale Economies of scale is the property whereby LR ATC falls as the quantity of output increases – Specialization leads to higher output/worker and lower ATC/unit of output Diseconomies of scale is the property whereby LR ATC rises as the quantity of output increases – Coordination problems Constant returns to scale is the property whereby LR ATC remains constant as the quantity of output changes