Weekly Lecture: Week 04 Chaps 10 –Production and Cost CHAPTER ROADMAP What ’ sNe wi nt hi sEdition? Chapter 10 is largely unchanged from the sixth edition. Where We Are In this chapter, we define economic costs and profits. We examine the relationship between inputs, costs, and production. This chapter lays the groundwork for the profit-maximizing decisions that are made by firms, which we study in the next several chapters. Whe r eWe ’ veBe e n We defined what economics means in terms of scarcity, opportunity cost, choice, a nde f f i c i e ntus eofr e s our c e s .We ’ vee xpl or e dt hei nt e r a c t i onsofs uppl ya nd demand that bring about the efficient use of resources and the role of government intervention in market effic i e nc y .We ’ vedi s c us s e dt her a t i ona l ebe hi ndt he downward-sloping demand curve using marginal utility analysis. Whe r eWe ’ r eGoi ng After this chapter, we look at the demand and marginal revenue curves for firms in different industry structures. By combining cost, demand, and revenue curves, we will see the profit-maximizing operating decisions made by firms. CHAPTER LECTURE 10.1 Economic Cost and Profit TheFi r m’ sGoal Thef i r m’ sg oa li st oma xi mi z epr of i t . Accounting Cost and Profit versus Opportunity Cost Accountants measure revenue and cost using accounting conventions in order to ensure that the firm pays the proper amount of tax and to give creditors information. But the costs as measured by acc ount a nt sa r et hef i r m’ s opportunity costs. The decisions the firm makes to maximize its profit respond to opportunity cost and economic profit. The opportunity cost of a firm’ s use of resources is the highest-valued alternative forgone. Opportunity costs include both explicit costs and implicit costs. An explicit cost is a cost paid in money. Explicit costs are opportunity costs. An implicit cost is an opportunity cost incurred by a firm when it uses a factor of production for which it does not make a direct money payment. Implicit costs also are opportunity costs. Normal Profit and Economic Profit Af i r m’ sowne rs uppl i e se ntrepreneurship by organizing the business and bearing the risk of running it. Normal profit is the return to entrepreneurship. The normal profit is part ofaf i r m’ soppor t uni t yc os tbe c a us ei ti st hec os tofpe r s ua di ngt he entrepreneur of not running another business. Economic profit i saf i r m’ st ot a lr e ve nuemi nusi t st ot a loppor t uni t yc os t .An economic profit is a profit over and above the normal profit. 10.2 Short-Run Production Af i r mowne r ’ sde c i s i onsc a nbec a t e g or i z e da sshort run decisions and long run decisions. The short run is a time frame in which the quantities of some resources are f i xe d.Thef i xe dr e s our c e si nc l udet hef i r m’ sma na g e me ntor g a ni z a t i on structure, level of technology, buildings and large equipment. These factors a r ec a l l e dt hef i r m’ splant. The long run is a time frame in which the quantities of all resources can be varied. Long-run decisions are not easily reversed so usually a firm must live with the plant size that it has created for some time. To increase its output in the short run, a firm must increase the quantity of labor employed. There are three relationships between the quantity of labor a ndt hef i r m’ sout put . Product Schedules The total product is the total quantity of a good produced in a given period. The marginal product (MP) of labor is the increase in total product that results from a one-unit increase in the quantity of labor employed with all other inputs remaining the same. The average product of labor is equal to the total product of labor divided by Labor 0 Total Marginal Average product product product 0 10 1 10 10 20 2 30 15 6 3 36 12 the quantity of labor. The table to the right has examples of these product schedules. The marginal product curve shows the additional output generated by each additional unit of labor. The figure shows a typical marginal product of labor curve (MP), with an upside-down U shape. The shape reflects the point that marginal product has increasing marginal returns initially and decreasing marginal returns eventually. Increasing marginal returns occurs when the marginal product of an additional worker exceeds the marginal product of the previous worker. The marginal product curve has a positive slope. At low levels of employment, increasing marginal returns is likely because hiring an additional worker allows large gains from specialization. Eventually these gains become small or nonexistent and decreasing marginal returns set in. Decreasing marginal returns occur when the marginal product of an additional worker is less than the marginal product of the previous worker. The marginal product curve has a negative slope. The law of decreasing returns states that as a firm uses more of a variable input, with a given quantity of fixed inputs, the marginal product of the variable input eventually diminishes. The average product curve shows the average product that is generated by labor at each level of labor. The average product of labor curve (AP) has an upside-down U shape. As the figure shows, the marginal product curve and the average product curve are related: when the marginal product of labor exceeds the average product of labor, the average product of labor increases; when the marginal product of labor is less than the average product of labor, the average product of labor decreases; and the marginal product of labor equals the average product of labor when the average product of labor is at its maximum. 10.3 Short-Run Cost Labor 0 Output 0 Fixed Variable cost cost (dollars) (dollars) 50 Average Average Average Marginal cost Total cost fixed cost variable cost total cost (dollars) (dollars) (dollars) (dollars) (dollars) 0 50 10.00 1 10 50 100 150 5.00 10.00 15.00 5.00 2 30 50 200 250 1.66 6.67 8.33 16.67 3 36 50 300 350 1.39 8.33 9.72 The table above continues the previous product schedule table and shows different costs. Total Cost Total cost (TC) is the cost of all the factors of production a firm uses. Total fixed cost (TFC)i st hec os toft hef i r m’ sf i xe dfactors of production—the cost of land, capital, and entrepreneurship. Total variable cost (TVC) is the cost of t hef i r m’ sva r i a bl ei nputs—the cost of labor. Total cost is the sum of total fixed cost plus total variable cost: TC = TFC + TVC. Marginal Cost and Average Costs Marginal cost (MC) is the increase in total cost that results from a one-unit increase in output. Average fixed cost (AFC) is total fixed cost per unit of output. The value of AFC falls as output increases. Average variable cost (AVC) is total variable costs per unit of output. At low levels of output, AVC falls as output increases but at higher levels of output, AVC rises as output increases. Average total cost (ATC) is the total cost per unit of output. ATC = AFC + AVC. At low levels of output, ATC falls as output increases but at higher levels of output, ATC rises as output increases. The figure illustrates typical MC, AFC, AVC, and ATC curves. As the figure shows, the MC curve, the AVC curve, and the ATC curve are all U-shaped. There are other additional important points about this figure: The vertical distance between the AVC curve and the ATC curve is the AFC. Because the AFC decreases as output increases, these curves become closer to each other as output increases. The MC curve intersects the AVC curve and ATC curve at their minimums. Cost Curves and Product Curves The shape of the cost curves is related to the shape of the productivity curves. The shape of the AVC curve is determined by the shape of the AP curve. Over the range of output for which the AP curve is rising, the AVC curve is falling and over the range of output for which the AP curve is falling, the AVC curve is rising. The shape of the MC curve is determined by the shape of the MP curve. Over the range of output for which the MP curve is rising, the MC curve is falling and over the range of output for which the MP curve is falling, the MC curve is rising. Shifts in the Cost Curves The cost curves shift with changes in technology or changes in resource prices. An increase in technology that allows more output to be produced from the same resources shifts the cost curves downward. If the technology requires more capital, a fixed input, then the average total cost curve shifts upward at low levels of output and downward at higher levels of output. A fall in the price of the fixed factor of production shifts the AFC and ATC curves downward but leaves the AVC and MC curves unchanged. A fall in the price of a variable factor of production shifts the AVC, ATC, and MC curves downward but leaves the AFC curve unchanged. 10.4 Long-Run Cost In the long run, a firm can vary the quantity of both labor and capital, so in the long run all costs are variable costs. Plant Size and Cost In the long run, when a firm changes its plant size, its average total cost might rise, fall, or not change Economies of scale a r ef e a t ur e sofaf i r m’ st e c hnol ogyt ha tma kea ve r a g e total cost fall as output increases. The main source of economies of scale is greater specialization of both labor and capital. Diseconomies of scale are features of a f i r m’ st e c hnology that make average total cost rise as output increases. Diseconomies of scale arise from the difficulty of coordinating and controlling a large business. Constant returns to scale a r ef e a t ur e sofaf i r m’ st e c hnol ogyt ha tke e p average total cost constant as output increases. Constant returns to scale occur when a firm is able to replicate its existing production facility including its management system. The Long-Run Average Cost Curve In the long run, a firm can use different plant sizes. Each plant size has a different short-run ATC curve. Each short-run ATC curve is U-shaped and the larger the plant size, the greater is the output at which the average total cost is a minimum. The figure illustrates three average total cost curves for three plant sizes. ATC1 pertains to the smallest plant size and ATC3 to the largest. The long-run average cost curve, LRAC, is the curve that shows the lowest average total cost at which it is possible to produce each output when the firm has sufficient time to change both its plant size and labor employed. This curve is derived from the short-run average total cost curves. It shows the lowest average total cost to produce a given level of output. In the figure, the LRAC curve is the darkened parts of the three short-run ATC curves. The LRAC slopes downward when the firm has economies of scale, is horizontal when the firm has constant returns to scale, and slopes upward when the firm has diseconomies of scale.
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