The Costs of Production The Law of Supply: Firms are willing to produce and sell a greater quantity of a good when the price of a good is high, due to typical productivity and cost behaviour. Principles of Microeconomics : Ch.13 Supply First Canadian Edition Total Revenue, Total Cost, Profit assume that the firm’s goal is to maximize profit. We Profit = Total revenue – Total cost TR-the amount a firm receives from the sale of its output TC-the market value of the inputs a firm uses in production Principles of Microeconomics : Ch.13 First Canadian Edition Costs as Opportunity Costs The firm’s costs include Explicit Costs and Implicit Costs: – Explicit Costs: costs that involve a direct money outlay for factors of production. – Implicit Costs: costs that do not involve a direct money outlay (e.g. opportunity costs of the owner’s own inputs used implicit wages, implicit rent, cost of capital). Principles of Microeconomics : Ch.13 First Canadian Edition Costs as Opportunity Costs Accountants measure the explicit costs but often ignore the implicit costs. Economists include all opportunity costs when measuring costs. Accounting Profit = TR - Explicit Costs Economic Profit = TR - Explicit Costs Implicit Costs Principles of Microeconomics : Ch.13 First Canadian Edition Explicit vs. Implicit Costs: An Example You need $100,000 to start your business. The interest rate is 5%. Case 1: borrow $100,000 – explicit cost = $5000 interest on loan Case 2: use $40,000 of your savings, borrow the other $60,000 – explicit cost = $3000 (5%) interest on the loan – implicit cost = $2000 (5%) foregone interest you could have earned on your $40,000. In both cases, total (exp + imp) costs are $5000. Principles of Microeconomics : Ch.13 First Canadian Edition Marginal Product The marginal product of any input is the increase in output arising from an additional unit of that input, holding all other inputs constant. E.g., if Farmer Jack hires one more worker, his output rises by the marginal product of labour. Notation: ∆ (delta) = “change in…” Examples: ∆Q = change in output, ∆L = change in labour Marginal product of labour (MPL) = delta Q/delta L Principles of Microeconomics : Ch.13 First Canadian Edition Why MPL Diminishes Diminishing marginal product: the marginal product of an input declines as the quantity of the input increases (other things equal) E.g., Farmer Jack’s output rises by a smaller and smaller amount for each additional worker. Why? If Jack increases workers but not land, the average worker has less land to work with, so will be less productive. In general, MPL diminishes as L rises whether the fixed input is land or capital (equipment, machines, etc.). Principles of Microeconomics : Ch.13 First Canadian Edition Short-Run vs. Long-Run Two different time horizons are important when analyzing costs. Short-Run: Time period over which some inputs are variable (labour, materials) and some inputs are fixed (plant size). Long-Run: Time period over which all inputs are variable, including plant size. Principles of Microeconomics : Ch.13 First Canadian Edition Short-Run Costs Costs of production may be divided into two categories in the short-run: Fixed Costs: –Those costs that do not vary with the amount of output produced. Variable Costs: –Those costs that do vary with the amount of output produced. Principles of Microeconomics : Ch.13 First Canadian Edition Marginal Cost Marginal Cost (MC) is the increase in Total Cost from producing one more unit: MC = delta TC/delta Q Principles of Microeconomics : Ch.13 First Canadian Edition The Shape of Short-Run Cost Curves Short-run cost behaviour is based on the productivity of the inputs (resources). As the firm continues to expand output, in a fixed plant-size situation, eventually the marginal product of each successive worker hired will decrease. The diminishing marginal product causes the marginal cost to increase in the shortrun. This in turn affects the behaviour of average total cost. Principles of Microeconomics : Ch.13 First Canadian Edition The Shape of Typical Cost Curves U-Shaped Average Total Cost (ATC): – At low levels of output, as the firm expands production, ATC declines. – At higher production levels, as output is increased, ATC increases. – The bottom of the U-Shape occurs at the quantity that minimizes average total cost. – This is called the Efficient Size of the firm. Principles of Microeconomics : Ch.13 First Canadian Edition The Relationship Between Marginal Cost and Average Total Cost is ATC U - shaped? When marginal cost is less than average total cost, average total cost is falling. Why MC < ATC ATC When marginal cost is greater than average total cost, average total cost is rising. MC > ATC Principles of Microeconomics : Ch.13 ATC First Canadian Edition The Relationship Between Marginal Cost and Average Total Cost Cost ($’s) MC Principles of Microeconomics : Ch.13 ATC The marginal cost curve always crosses the average total cost curve at the minimum average total cost! Quantity First Canadian Edition Costs in the Short Run & Long Run Short run: Some inputs are fixed (e.g., factories, land). The costs of these inputs are FC. Long run: All inputs are variable (e.g., firms can build more factories, or sell existing ones) In the long run, ATC at any Q is cost per unit using the most efficient mix of inputs for that Q (e.g., the factory size with the lowest ATC). Principles of Microeconomics : Ch.13 First Canadian Edition Long-Run Costs $ Per Unit LRATC Curve Econ. of Scale Constant Returns to Scale Disecon . of Scale Scale of Operation (Q) Principles of Microeconomics : Ch.13 First Canadian Edition How ATC Changes as the Scale of Production Changes Economies of scale occur when increasing production allows greater specialization: workers more efficient when focusing on a narrow task. – More common when Q is low. Diseconomies of scale are due to coordination problems in large organizations. E.g., management becomes stretched, can’t control costs. – More common when Q is high. – Constant returns to scale if more output neither increases or decreases cost. (flat portion of LRATC) Principles of Microeconomics : Ch.13 First Canadian Edition