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Chapter 6: Costs of Production ©2012 The McGraw-Hill Companies, All Rights Reserved 1 Learning Objectives 1. Define and explain the differences between accounting profit and economic profit. 2. Understand the law of diminishing returns. 3. Discuss the various production costs that firms face. 4. Determine a firm’s profit maximizing decision in the short run. 5. Describe a firm’s shutdown decision. 6. Understand production and costs in the long run. ©2012 The McGraw-Hill Companies, All Rights Reserved 2 Profits Any Firm has one main goal: maximize its profit What does exactly profit mean? We distinguish 3 types of profits Accounting profit Economic profit or excess profit Normal profit ©2012 The McGraw-Hill Companies, All Rights Reserved 3 Accounting Profit Most common profit idea Accounting profit = total revenue – explicit costs Explicit purchase costs are payments firms make to Resources (labor, land, etc.) and Products from other firms Easy to compute Easy to compare across firms ©2012 The McGraw-Hill Companies, All Rights Reserved 4 Economic Profit Economic profit is the difference between a firm's total revenue and the sum of its explicit and implicit costs Economic profit = total revenue – explicit costs – implicit costs Economic profit = accounting profit – implicit costs Implicit costs are the opportunity cost of the resources supplied by the firm's owners Difficult to measure ©2012 The McGraw-Hill Companies, All Rights Reserved 5 Accounting and Economic Profit: Example Assume firm Total revenue = $400,000 Explicit costs = workers’ salaries = $250,000 Accounting profit = $400,000 - $250,000 = $150,000 Firm’s implicit costs = $100,000 Economic profit = $150,000 - $100,000 Economic profit < Accounting profit Accounting profit – Economic profit = Normal profit • Normal profit = opportunity cost of the resources used by the firm ©2012 The McGraw-Hill Companies, All Rights Reserved 6 Three Kinds of Profit Total Revenue = Explicit Costs + Accounting Profit Total Revenue Explicit Costs Explicit Costs Accounting Profit Economic Profit = Accounting Profit – Normal Profit ©2012 The McGraw-Hill Companies, All Rights Reserved Normal Profit Economic Profit 7 Economic Profits Guide Decisions Kamal is a corn farmer living in Turkey Kamal’s decision: keep farming or quit? Quit farming and earn $11,000 per year working retail Explicit farm costs are $10,000 (including $6,000 as rent) Total revenue is $22,000 Accounting Profit $12,000 Kamal Economic Profit $1,000 Normal Profit $11,000 should stick with farming because EP > 0 If revenue fell below $21,000, Kamal should quit ©2012 The McGraw-Hill Companies, All Rights Reserved 8 Owned Inputs What if Kamal inherits the land? Rent for the farm land is $6,000 of the $10,000 in explicit costs His rent payments become an implicit cost Total Revenue $20,000 Accounting Profit $16,000 Explicit Costs $4,000 Economic Loss $1,000 Implicit Costs $17,000 Normal Profit $17,000 Kamal should abandon farming because EP < 0 ©2012 The McGraw-Hill Companies, All Rights Reserved 9 Production Ideas Production converts inputs into outputs Many different ways to produce the same product Technology is a recipe for production A factor of production is an input used in the production of a good or a service Examples are land, labor, capital, and entrepreneurship The short run is the period of time when at least one of the firm's factors of production is fixed The long run is the period of time in which all inputs are variable ©2012 The McGraw-Hill Companies, All Rights Reserved 10 Production: Short and Long Run Every firm faces the following question: how much to produce? Assume a firm that makes glass bottles Uses labor (employees) + capital (machine) • Assume for now only 2 factors of production Short Run: machine (capital) is assumed to be fixed and employee (labor) variable Long Run: both inputs, machine and labor, are variable ©2012 The McGraw-Hill Companies, All Rights Reserved 11 Production: Short and Long Run Total # of Employees per day Total Output per day 0 0 1 80 80 2 200 120 3 260 60 4 300 40 5 330 30 6 350 20 7 362 12 ©2012 The McGraw-Hill Companies, All Rights Reserved Marginal Product of Labor 12 Production: Short and Long Run Previous table reflects the output – employment relationship Add a unit of employment (labor) output grows Beyond some point the additional output that results from each additional unit of labor begins to diminish Can be better seen through Marginal Product of Labor (MP) as a measure of the contribution of additional labor input to total output ©2012 The McGraw-Hill Companies, All Rights Reserved 13 Production: Short and Long Run Marginal Product of Labor 1 unit of labor to 2 units of labor MP increases increasing returns 2 units of labor to 3 units of labor MP decreases decreasing returns law of diminishing returns The Law of Diminishing Returns With all inputs except one fixed, additional units of the variable input yield ever smaller amounts of additional output ©2012 The McGraw-Hill Companies, All Rights Reserved 14 Total and Marginal Product ©2012 The McGraw-Hill Companies, All Rights Reserved 15 Cost Concepts A fixed factor of production is an input whose quantity cannot be changed in the short run Fixed cost (FC) is the sum of all payments for fixed inputs A variable factor of production is an input whose quantity can be changed in the short run Variable cost (VC) is the sum of all payments for variable inputs Total cost (TC) is the sum of all payments for inputs TC = FC + VC ©2012 The McGraw-Hill Companies, All Rights Reserved 16 Fixed, Variable, and Total Costs of Lantern Production Workers Lanterns per Day Fixed Costs ($/day) Variable Cost ($/day) Total Cost ($/day) 0 0 $40 $0 $40 Marginal Cost ($/lanter n) 1 80 40 12 52 $0.15 2 200 40 24 64 0.10 3 260 40 36 76 0.20 4 300 40 48 88 0.30 5 330 40 60 100 0.40 6 350 40 72 112 0.60 7 362 40 84 124 1.00 ©2012 The McGraw-Hill Companies, All Rights Reserved 17 Total and Marginal Cost ©2012 The McGraw-Hill Companies, All Rights Reserved 18 Cost Concepts Marginal cost (MC) is the change in total cost divided by the change in output MC also represents the slope of the total cost curve MP and MC reflect each other When MP increases, MC decreases When MP decreases, MC increases ©2012 The McGraw-Hill Companies, All Rights Reserved 19 Choosing Output to Maximize Profit Profit = Total revenue – Total cost = TR – TC Total cost = Fixed cost + Variable cost Profit = Total revenue – Variable cost – Fixed cost The firm must know about both revenues and costs in order to maximize profits Increase output if marginal benefit is at least as great as marginal cost Decrease output if marginal benefit is greater than marginal cost ©2012 The McGraw-Hill Companies, All Rights Reserved 20 Choosing Output to Maximize Profit What is the output that maximizes profit? Cost – benefit principles says to produce as long as MB > MC If price is $0.35 per lantern (MB = $0.35) then produce 300 (following previous table) • Is that the profit maximizing output? Let us calculate the total profits Largest profit = $17 at output of 300 lanterns per day ©2012 The McGraw-Hill Companies, All Rights Reserved 21 Choosing Output to Maximize Profit Note here that P = MB = MR = marginal revenue Marginal revenue = change in total revenue resulting from a change in output Cost – benefit principles therefore says that if MB = MR > MC then produce that unit Here MR = P = constant = $0.35 ©2012 The McGraw-Hill Companies, All Rights Reserved 22 Output, Revenue, Costs and Profit Worker s Output (lanterns/da y) TR ($/day) MR ($/lanter n) TC ($/day) MC ($/lanter n) 0 0 0 1 80 28 0.35 52 0.15 -24 2 200 70 0.35 64 0.10 6 3 260 91 0.35 76 0.20 15 4 300 105 0.35 88 0.30 17 5 330 115.5 0.35 100 0.40 15.5 6 350 122.5 0.35 112 0.60 10.5 7 362 126.7 0.35 124 1.00 2.7 40 ©2012 The McGraw-Hill Companies, All Rights Reserved Profits ($/day) -40 23 Profit Maximization ©2012 The McGraw-Hill Companies, All Rights Reserved 24 Profit Maximization From the previous figure Profits are maximized at output = 300 lanterns Profit maximization reflected in: The highest point of the profit curve The largest difference between TR and TC curves The slope of the profit function is equal to zero ©2012 The McGraw-Hill Companies, All Rights Reserved 25 Profit Maximization ©2012 The McGraw-Hill Companies, All Rights Reserved 26 Profit Maximization From the previous figure MR = MC profit is maximized Slope of TR = slope of TC TR and TC are parallel What if the fixed cost was $45 instead of $40? Will the new fixed cost affect the level of output to maximize profits? Will the shutdown point still be the same? ©2012 The McGraw-Hill Companies, All Rights Reserved 27 Fixed Costs and Profit Maximization Fixed costs have no role in choosing the profit-maximizing level of output Marginal benefit is the price of the product Fixed costs do not affect marginal costs To summarize: When the Law of Diminishing Returns applies when a fixed input exists, Increase output if marginal cost is less than price Decrease output if marginal cost is more than price • However, some exceptions exist ©2012 The McGraw-Hill Companies, All Rights Reserved 28 Shut-Down Decision Firms can make losses in the short run Some firms continue to operate Some firms shut down What determines the decision to stay in the market or shut-down? The Cost – Benefit Principle applies even to losses Continue to operate if your losses are less than if you shut down Shut down if your losses are less than if you continued operating ©2012 The McGraw-Hill Companies, All Rights Reserved 29 Shut-Down Condition If the firm shuts down in the short run, it loses all of its fixed costs So, fixed costs are the most a firm can lose The firm should shut down if revenue is less than variable cost: P x Q < VC for all levels of Q The firm is losing money on every unit it makes If the firm's revenue is at least as big as variable cost, the firm should continue to produce Each unit pays its variable costs and contributes to fixed costs Losses will be less than fixed costs ©2012 The McGraw-Hill Companies, All Rights Reserved 30 AVC and ATC Shut-down if P x Q < VC P < VC / Q P < AVC Average values are the total divided by quantity Average variable cost (AVC) is AVC = VC / Q Average total cost (ATC) is ATC = TC / Q Shut down if price is less than average variable cost ©2012 The McGraw-Hill Companies, All Rights Reserved 31 Profitable Firms A firm is profitable if its total revenue is greater than its total cost TR > TC OR P x Q > ATC x Q since ATC = TC / Q Another way to state this is to divide both sides of the inequality by Q to get P > ATC As long as the firm's price is greater than its average total costs, the firm is profitable ©2012 The McGraw-Hill Companies, All Rights Reserved 32 Workers Lanterns per day per day Variable AVC ($ Cost per unit) ($/day) Total Cost 40 ATC ($ Marginal Cost per unit) ($/unit) 0 0 0 1 80 12 0.15 52 0.65 2 200 24 0.12 64 0.32 3 260 36 0.135 76 0.292 ©2012 The McGraw-Hill Companies, All Rights Reserved 0.15 0.10 0.20 33 Cost Curves Notice that MC must intersect both the AVC and ATC at their respective minimum points If MC is below the AVC (or ATC) the corresponding average cost must be falling If MC is above the AVC (or ATC) the corresponding average cost must be increasing ATC curve is generally U-shaped Fixed costs dominate at low levels of output As production increases AFC decreases and AVC increases (due to diminishing returns) eventually causing ATC to rise ©2012 The McGraw-Hill Companies, All Rights Reserved 34 Production and Costs in the Long Run Long run = a time period of sufficient length that all the firm’s factors of production are variable This means for the bottle maker that it is possible, over time, to vary not only the number of employees but also the capacity of the bottlemaking machine or the number of bottle-making machines Hence, run all production costs are variable in the long ©2012 The McGraw-Hill Companies, All Rights Reserved 35 Production and Costs in the Long Run ©2012 The McGraw-Hill Companies, All Rights Reserved 36 Production and Costs in the Long Run In the long run (LR), ATC curve is U – shaped The rationale behind this shape is that the bottle producer can avert diminishing returns simply by adding another bottle-making machine and expanding its scale of operations In other words, increasing returns can be extended over time by getting more output out of every additional employee, thus resulting in a decreasing average total cost • This explains the decreasing portion of the LRATC economies of scale ©2012 The McGraw-Hill Companies, All Rights Reserved 37 Production and Costs in the Long Run As a firm expands its scale of operations, it eventually experiences increasing ATC, which economists describe as diseconomies of scale This is represented by a rising portion of the long run ATC The area separating the decreasing and the rising portion of the long run ATC is described as constant returns to scale ©2012 The McGraw-Hill Companies, All Rights Reserved 38 Production and Costs in the Long Run Economies of scale: When all inputs are changed by a given proportion, output changes by more than that proportion Examples: division of labor, specialization, mass production, and increased capital efficiency. Constant returns to scale: When all inputs are changed by a given proportion, output changes by the same proportion Diseconomies of scale: When all inputs are changed by a given proportion, output changes by less than that proportion Example: too many management layers ©2012 The McGraw-Hill Companies, All Rights Reserved 39 Production and Costs in the Long Run Economies of scale: Q = f(L;K) f(2*L;2*K) > 2*Q = QNew Constant returns to scale: Q = f(L;K) f(2*L;2*K) = 2*Q = QNew Diseconomies of scale: Q = f(L;K) f(2*L;2*K) < 2*Q = QNew ©2012 The McGraw-Hill Companies, All Rights Reserved 40