Block 5 THE FIRM Readings Main Textbook CHAPTER SIX : INTRODUCING SUPPLY DECESIONS CHAPTER SEVEN : COSTS AND SUPPLY Begg, D., G. Vernasca, S. Fischer and R. Dornbusch Economics. Study Guide BLOCK Five :Consumer Choice O. Birchall with D. Verry, M. Bray and D. Petropoulou, Introduction to economics. © 2012 Pearson Addison-Wesley Student Assessment This course is assessed by a three-hour unseen written examination set and marked by the University of London. The exam consists of three main sections. Section A (40 marks) :Contains Eight True/False/Uncertain questions evenly drawn from microeconomics and macroeconomics. Section B (30 marks):Contains One microeconomics question. Section C (30 marks) :contains One macroeconomics question. © 2012 Pearson Addison-Wesley Outline Chapter 6 recognize the legal forms in which businesses are owned and run describe revenue, cost, profit and cash flow analyze accounts for flows and for stocks recognize economic and accounting definitions of cost understand whether a firm chooses output to maximize profits describe how this choice reflects marginal cost and marginal revenue © 2012 Pearson Addison-Wesley WHAT ARE COSTS • The economy is made up of thousands and thousands of firms providing goods and services that we buy. • According to the law of supply these firms are willing to produce more when prices are higher. Consequently the supply curve slopes upwards. A firm’s costs are a key determinant of both pricing and production decisions. We therefore need to understand the nature of a firm’s costs in making or providing goods and services. © 2012 Pearson Addison-Wesley Total Revenue, Total Cost, Profit We assume that the firm’s goal is to maximize profit. Profit = Total revenue – Total cost the amount a firm receives from the sale of its output. © 2012 Pearson Addison-Wesley the market value of the inputs a firm uses in production. Costs as Opportunity Costs Explicit costs require an outlay of money, e.g., paying wages to workers. Implicit costs do not require a cash outlay, e.g., the opportunity cost of the owner’s time. This is true whether the costs are implicit or explicit. Both matter for firms’ decisions. © 2012 Pearson Addison-Wesley Economic Profit vs. Accounting Profit Accounting profit = total revenue minus total explicit costs Economic profit = total revenue minus total costs (including explicit and implicit costs) Accounting profit ignores implicit costs, so it’s higher than economic profit. © 2012 Pearson Addison-Wesley The Cost of Capital as an Opportunity Cost 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 (explicit + implicit) costs are $5000. © 2012 Pearson Addison-Wesley Firm’s supply decision's – Producer behavior theory 1. Maximum (output) Production 2. Minimum Costs Maximum profit © 2012 Pearson Addison-Wesley PRODUCTION AND COSTS We will now examine the link between a firm’s production process and its total cost. We assume that the size of the enterprise (in our example a farm) is fixed and that output is changed by employing more or less workers (land and equipment are fixed). This is a realistic assumption in the short-run time horizon. © 2012 Pearson Addison-Wesley The Production Function A production function shows the relationship between the quantity of inputs used to produce a good and the quantity of output of that good. It can be represented by a table, equation, or graph. Example 1: • A farmer, Mahmud grows wheat. • He has 5 acres of land. • He can hire as many workers as he wants. © 2012 Pearson Addison-Wesley EXAMPLE 1: Farmer’s Production Function 3,000 Q (bushels (no. of of wheat) workers) Quantity of output L 2,500 0 0 1 1000 2 1800 3 2400 500 4 2800 0 5 3000 2,000 1,500 1,000 0 1 2 3 4 No. of workers © 2012 Pearson Addison-Wesley 5 The Production Function: Marginal Product If the farmer Mahmud hires one more worker, his output rises by the marginal product of labor. The marginal product of any input is the increase in output arising from an additional unit of that input, holding all other inputs constant. Notation: ∆ (delta) = “change in…” Examples: ∆Q = change in output, ∆L = change in labor ∆Q Marginal product of labor (MPL) = ∆L © 2012 Pearson Addison-Wesley EXAMPLE 1: Total & Marginal L Product Q (no. of (bushels workers) of wheat) 0 0 ∆Q = 1000 ∆L = 1 1 2 5 © 2012 Pearson Addison-Wesley 800 ∆Q = 600 600 ∆Q = 400 400 ∆Q = 200 200 2400 ∆L = 1 4 ∆Q = 800 1800 ∆L = 1 3 1000 1000 ∆L = 1 ∆L = 1 MPL 2800 3000 EXAMPLE 1: MPL = Slope of Prod Function Q (no. of (bushels workers) of wheat) 0 MPL 3,000 MPL 0 1000 1 1000 800 2 1800 600 3 2400 400 4 2800 200 5 3000 Quantity of output L equals the slope of the 2,500 production function. 2,000 Notice that MPL diminishes 1,500 as L increases. 1,000 This explains why 500 production the function gets flatter 0 as L0 increases. 1 2 3 4 No. of workers © 2012 Pearson Addison-Wesley 5 Why MPL Is Important When Farmer Mahmud hires an extra worker, his costs rise by the wage he pays the worker his output rises by MPL. Comparing them helps Mahmud decide whether he should hire the worker. © 2012 Pearson Addison-Wesley Why MPL Diminishes The farmer’s output rises by a smaller and smaller amount for each additional worker. Why? As he adds workers, the average worker has less land to work with and will be less productive. In general, MPL diminishes as L rises whether the fixed input is land or capital (equipment, machines, etc.). Diminishing marginal product: The marginal product of an input declines as the quantity of the input increases (other things equal). © 2012 Pearson Addison-Wesley From the Production Function to the Total Cost Curve Farmer Mahmud must pay $1000 per month for the land, regardless of how much wheat he grows. The market wage for a farm worker is $2000 per month. So Mahmud’s costs are related to how much wheat he produces….(see next two slides). © 2012 Pearson Addison-Wesley EXAMPLE 1: Farmer Mahmud’s Costs L (no. of workers) Q (bushels of wheat) Cost of land Cost of labor Total Cost 0 0 $1,000 $0 $1,000 1 1000 $1,000 $2,000 $3,000 2 1800 $1,000 $4,000 $5,000 3 2400 $1,000 $6,000 $7,000 4 2800 $1,000 $8,000 $9,000 5 3000 $1,000 $10,000 $11,000 © 2012 Pearson Addison-Wesley EXAMPLE 1: Farmer Mahmud’s Total Cost Curve Q (bushels of wheat) Total Cost $1,000 1000 $3,000 1800 $5,000 2400 $7,000 2800 $9,000 3000 $11,000 © 2012 Pearson Addison-Wesley $10,000 Total cost 0 $12,000 $8,000 $6,000 $4,000 $2,000 $0 0 1000 2000 3000 Quantity of wheat THE VARIOUS MEASURES OF COST Marginal Cost (MC) is the increase in Total Cost from producing one more unit: ∆TC MC = ∆Q © 2012 Pearson Addison-Wesley EXAMPLE 1: Total and Marginal Cost Q (bushels of wheat) 0 Total Cost $1,000 ∆Q = 1000 1000 © 2012 Pearson Addison-Wesley $2.50 ∆TC = $2000 $3.33 ∆TC = $2000 $5.00 ∆TC = $2000 $10.00 $9,000 ∆Q = 200 3000 ∆TC = $2000 $7,000 ∆Q = 400 2800 $2.00 $5,000 ∆Q = 600 2400 ∆TC = $2000 $3,000 ∆Q = 800 1800 Marginal Cost (MC) $11,000 EXAMPLE 1: The Marginal Cost Curve $12 0 TC MC $1,000 $2.00 1000 $3,000 $2.50 1800 $5,000 $3.33 2400 $7,000 $10 Marginal Cost ($) Q (bushels of wheat) $8 MC usually rises as Q rises, as in this example. $6 $4 $2 $5.00 2800 $9,000 3000 $11,000 © 2012 Pearson Addison-Wesley $10.00 $0 0 1,000 2,000 Q 3,000 Why Marginal Cost Is Important Mahmud is rational and wants to maximize his profit. To increase profit, should he produce more or less wheat? To find the answer, Mahmud needs to “think at the margin.” If the cost of additional wheat (MC) is less than the revenue he would get from selling it, then the farmer’s profits rise if he produces more. © 2012 Pearson Addison-Wesley Fixed and Variable Costs Fixed costs (FC) do not vary with the quantity of output produced. For Mahmud, FC = $1000 for his land Other examples: cost of equipment, loan payments, rent. Variable costs (VC) vary with the quantity produced. For Mahmud, VC = wages he pays workers. Other example: cost of materials. Total cost (TC) = FC + VC © 2012 Pearson Addison-Wesley EXAMPLE 2: Costs FC VC TC 0 $100 $0 $100 1 100 70 170 2 100 120 220 3 100 160 260 4 100 210 310 FC $700 VC TC $600 $500 Costs Q $800 $400 $300 $200 5 100 280 380 $100 6 100 380 480 $0 7 100 520 620 0 1 2 3 4 Q © 2012 Pearson Addison-Wesley 5 6 7 EXAMPLE 2: Marginal Cost 0 TC MC $100 $70 1 170 50 2 220 40 3 260 50 4 310 70 5 380 100 6 620 © 2012 Pearson Addison-Wesley ∆TC MC = ∆Q $100 Usually, MC rises as Q rises, due $75 to diminishing marginal product. $125 $50 Sometimes (as here), MC falls $25 before rising. $0 480 140 7 $200 Marginal Cost (MC) Recall, is $175 the change in total cost from producing one more unit: $150 Costs Q (In other0 examples, 1 2 3 MC 4 may 5 6be 7 constant.) Q EXAMPLE 2: Average Fixed Cost FC AFC 0 $100 n/a 1 100 $100 2 100 50 3 100 33.33 4 100 25 5 100 20 6 100 16.67 7 100 14.29 © 2012 Pearson Addison-Wesley $200 Average fixed cost (AFC) is$175 fixed cost divided by the quantity of output: $150 Costs Q AFC $125 = FC/Q $100 Notice $75 that AFC falls as Q rises: The firm is spreading its fixed $50 costs over a larger and larger $25 number of units. $0 0 1 2 3 4 Q 5 6 7 EXAMPLE 2: Average Variable Cost VC AVC 0 $0 n/a 1 70 $70 2 120 60 3 160 53.33 4 210 52.50 5 280 56.00 6 380 63.33 7 520 74.29 © 2012 Pearson Addison-Wesley $200 Average variable cost (AVC) is$175 variable cost divided by the quantity of output: $150 Costs Q AVC $125 = VC/Q $100 As$75 Q rises, AVC may fall initially. In most cases, AVC will $50 eventually rise as output rises. $25 $0 0 1 2 3 4 Q 5 6 7 EXAMPLE 2: Average Total Cost Q TC 0 $100 ATC AFC AVC n/a n/a n/a 1 170 $170 $100 $70 2 220 110 50 60 3 260 86.67 33.33 53.33 4 310 77.50 25 52.50 5 380 76 20 56.00 6 480 80 16.67 63.33 7 620 88.57 14.29 74.29 © 2012 Pearson Addison-Wesley Average total cost (ATC) equals total cost divided by the quantity of output: ATC = TC/Q Also, ATC = AFC + AVC EXAMPLE 2: Average Total Cost TC 0 $100 1 2 170 220 ATC $200 Usually, as in this example, $175 the ATC curve is U-shaped. n/a $150 $170 110 Costs Q $125 $100 3 260 86.67 4 310 77.50 5 380 76 $25 6 480 80 $0 7 620 88.57 $75 $50 0 1 2 3 4 Q © 2012 Pearson Addison-Wesley 5 6 7 EXAMPLE 2: The Various Cost Curves Together $200 $175 ATC AVC AFC MC Costs $150 $125 $100 $75 $50 $25 $0 0 1 2 3 4 Q © 2012 Pearson Addison-Wesley 5 6 7 ACTIVE LEARNING 3 Calculating costs Fill in the blank spaces of this table. Q VC 0 1 10 2 30 TC AFC AVC ATC $50 n/a n/a n/a $10 $60.00 80 3 16.67 4 100 5 150 6 210 ©To 2012 Addison-Wesley be Pearson used with Mankiw and 150 20 12.50 36.67 8.33 $10 30 37.50 30 260 MC 35 43.33 60 Rashwan, Principles of Economics, Arab World Edition, 3 rd edition, ISBN: 9781473749504 © Cengage Learning EMEA 2018. ACTIVE LEARNING 3 Answers Use AFC FC/Q ATC AVC = TC/Q VC/Q MC and First,relationship deduce FC between = $50 and use FCTC + VC = TC. Q VC TC AFC AVC ATC 0 $0 $50 n/a n/a n/a 1 10 60 $50.00 $10 $60.00 2 30 80 25.00 15 40.00 3 60 110 16.67 20 36.67 4 100 150 12.50 25 37.50 5 150 200 10.00 30 40.00 6 210 260 8.33 35 43.33 ©To 2012 Addison-Wesley be Pearson used with Mankiw and MC $10 20 30 40 50 60 Rashwan, Principles of Economics, Arab World Edition, 3 rd edition, ISBN: 9781473749504 © Cengage Learning EMEA 2018. EXAMPLE 2: Why ATC Is Usually U-Shaped $200 $175 Initially, falling AFC pulls ATC down. $150 Eventually, rising AVC pulls ATC up. Efficient scale: The quantity that minimizes ATC. Costs As Q rises: $125 $100 $75 $50 $25 $0 0 1 2 3 4 Q © 2012 Pearson Addison-Wesley 5 6 7 As output increases, why do marginal costs start high, then fall, then rise again? Different production techniques • At low output, the firm uses simple techniques. As output rises, more sophisticated machines are used, making extra output quite cheap. • As output rises still further, the difficulties of managing a large firm emerge. Raising output gets hard and marginal costs rise. • In mass-production industries, as output increases marginal cost may decline and then become constant © 2012 Pearson Addison-Wesley EXAMPLE 2: ATC and MC When MC < ATC, ATC is falling. $200 When MC > ATC, ATC is rising. $150 $175 Costs The MC curve crosses the ATC curve at the ATC curve’s minimum. ATC MC $125 $100 $75 $50 $25 $0 0 1 2 3 4 Q © 2012 Pearson Addison-Wesley 5 6 7 Marginal revenue © 2012 Pearson Addison-Wesley Marginal revenue Marginal revenue falls steadily for two reasons. First, because demand curves slope down, the extra unit must be sold at a lower price. Second, successive price reductions reduce the revenue earned from existing units of output, and at larger output there are more existing units on which revenue is lost when prices fall further. To sum up, (a) marginal revenue falls as output rises. (b) marginal revenue is less than the price for which the last unit is sold, because a lower price reduces revenue earned from existing output. © 2012 Pearson Addison-Wesley The firm’s optimal supply decision The firm’s optimal output is Q1, at which marginal revenue is equal to marginal cost. The left of Q1, marginal revenue is larger than marginal cost and the firm should increase output. Where output is greater than Q1, marginal revenue is less than marginal cost and profits are increased by reducing output. © 2012 Pearson Addison-Wesley Change in costs Suppose the firm faces a price rise for a raw material. At each output, marginal cost is higher than before. It shows this upward shift from MC to MC’. The firm now produces at E’. Higher marginal costs reduce profit-maximizing output from Q1 to Q2 © 2012 Pearson Addison-Wesley A demand shift • An increase in the number of customers in the firm’s market • When the MR curve shifts upwards from MR to MR’, the intersection point between the MR and MC curves shifts from E to E’. • The firm’s optimal level of output increases from Q1 to Q3 © 2012 Pearson Addison-Wesley Business organization • A sole trader is a business owned by a single individual. • A partnership is a business jointly owned by two or more people, sharing the profits and being jointly responsible for any losses. Partnerships usually have unlimited liability • A company is an organization legally allowed to produce and trade. • Shareholders of a company have limited liability. The most they can lose is the money they spent buying shares • © 2012 Pearson Addison-Wesley A firm’s accounts • Stocks are measured at a given point in time. • Flows are corresponding measures during a period of time • Revenue is what the firm earns from selling goods or services in a given period. • Cost is the expense incurred in production in that period and profit is revenue minus cost. • A firm’s cash flow is the net amount of money actually received during the period. • Physical capital is machinery, equipment and buildings used in production. • Depreciation is the loss in value of a capital good during the period. © 2012 Pearson Addison-Wesley A firm’s accounts • Inventories are goods held in stock by the firm for future sales • A firm’s net worth is the assets it owns minus the liabilities it owes. • Retained earnings are the part of after-tax profits ploughed back into the business. © 2012 Pearson Addison-Wesley The firm’s short-run output decision The firm sets output at Q1, where short-run marginal costs equal marginal revenue. Then it checks whether it should produce at all. If price is above SATC1, the level of short-run average total cost at output Q1, the firm is making a profit and should certainly produce Q1. If price is between SATC1 and SAVC1, the firm partly covers its fixed costs, even though it is losing money. It should still produce output Q1. Only if the price is below SAVC1 should the firm produce zero. At those prices, the firm is not even covering its variable costs © 2012 Pearson Addison-Wesley Short run supply decisions Choose the output at which : MR=SMC P>AVC Otherwise produce zero © 2012 Pearson Addison-Wesley Long-run total, marginal and average costs Long-run total cost (LTC) is the minimum cost of producing each output level when the firm can adjust all inputs. Long-run marginal cost (LMC) is the rise in long-run total cost if output rises permanently by one unit. Long-run average cost (LAC) is the total cost LTC divided by the level of output Q © 2012 Pearson Addison-Wesley Long-run costs © 2012 Pearson Addison-Wesley Long run Average costs and marginal costs There are two special features of the relationship between the marginal cost curve (LMC) and the average cost curve (LAC). First, LAC is declining whenever LMC is below LAC, and rising whenever LMC is above LAC. Second, the LMC curve cuts the LAC curve at the minimum point of the LAC curve – in other words, at the point where output is produced at lowest unit cost. Minimum efficient scale (MES) is the lowest output at which the LAC curve reaches its minimum © 2012 Pearson Addison-Wesley How ATC Changes as the Scale of Production Changes Economies of scale: ATC ATC falls as Q increases. LRATC Constant returns to scale: ATC stays the same as Q increases. Diseconomies of scale: ATC rises as Q increases. © 2012 Pearson Addison-Wesley Q Economies and Diseconomies of Scale 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. © 2012 Pearson Addison-Wesley The firm’s long-run output decision In the long run the firm chooses its output level at the point B here MR is equal to LMC. It has then to check whether it is making losses at that output level Q1. If price is equal to or more than LAC1, the long-run average cost corresponding to output Q1, the firm is not making losses and stays in business. If the price is less than LAC1, the firm’s long-run output decision should be zero – it closes down permanently. MR=LMC, Choose the output where the P>=LAC © 2012 Pearson Addison-Wesley The relationship between short-run and long-run average costs Firm can choose from three factory sizes: S, M, L. Each size has its own SRATC curve. Avg. Total Cost ATCS ATCM ATCL The firm can change to a different factory size in the long run, but not in the short run. Q © 2012 Pearson Addison-Wesley The relationship between short-run and long-run average costs To produce less than QA, firm will choose size S in the long run. Avg. Total Cost ATCS ATCM To produce between QA and QB, firm will choose size M in the long run. To produce more than QB, firm will choose size L in the long run. © 2012 Pearson Addison-Wesley ATCL LRATC QA QB Q The relationship between short-run and long-run average costs To construct the LAC curve we select at each output the plant size which gives the lowest SATC at this output. Thus points such as A, B, C and D lie on the LAC curve. The LAC curve shows the minimum average cost way to produce a given output when all factors can be varied, not the minimum average cost at which a given plant can produce. © 2012 Pearson Addison-Wesley