Chapter 6: Production and Costs • economic costs & profits • short run • long run big picture • understand behavior of firm • understand & measure production costs I. economic costs & profits • firm’s goal: • maximize profit look at factors that affect firm’s decision economic costs • opportunity cost of resources used • explicit costs • paid in money wages, rent, material, etc. implicit costs opportunity cost of resources used example: smoothie shop • explicit costs: wages interest on loan rent on store fruit, blenders • implicit costs forgone interest on funds used to buy capital owner’s forgone wages owner’s forgone profit from other venture accounting profit • total revenue – explicit costs • ignores opportunity cost economic profit • includes opp. costs = total revenue - total costs = (price)(quantity) - (explicit + implicit costs) normal profit • occurs when • amount of accounting profit • = opportunity costs of resources if earning a normal profit, economic profit = 0 Short Run vs. Long Run • Short Run (SR) time frame where some resources are fixed -- plants, equipment some inputs variable -- labor SR decisions are reversible • Long Run (LR) time frame where all inputs are variable --build a bigger plant LR decisions are hard to reverse -- cannot easily get rid of capital -- sunk cost II. SR Production • measures of output total product marginal product average product total product (TP) • total quantity of good produced • in a given period at first, increases with labor, then falls TP: gal. of smoothies per hour # workers 0 1 2 3 4 5 6 7 TP 0 1 3 6 8 9 9 8 TP 9 56 # workers marginal product (MP) • change in TP due to one more worker change in TP = change in labor At first MP rises with workers • add more workers • greater specialization • MP of each worker added is larger • than previous worker increasing marginal returns then, MP falls with more workers • keep adding workers • but same amount of capital • so eventually get in the way • MP of more workers smaller than • MP of previous workers decreasing marginal returns TP, MP: gal. of smoothies # workers TP 0 1 2 3 4 5 6 7 0 1 3 6 8 9 9 8 MP 1 2 3 2 1 0 -1 MP 3 0 3 Q = # workers law of decreasing returns • As firm uses more labor with capital fixed, MP of labor will eventually fall Average Product (AP) TP = labor = productivity # workers TP 0 1 2 3 4 5 6 7 0 1 3 6 8 9 9 8 MP 1 2 3 2 1 0 -1 AP 1 1.5 2 2 1.8 1.5 1.1 MP 3 0 AP 3 # workers MP & AP • MP intersects AP at max of AP • why? • MP > AP • AP is rising MP < AP AP is falling III. SR cost • measure cost 3 ways: total cost marginal cost average cost Total Cost (TC) • cost of all factors used • total fixed cost (TFC) • • cost of land, capital, etc. does not change in SR total variable cost (TVC) cost of labor changes in SR TC = TFC + TVC example : yogurt • labor = $6/ hour • TFC = $10/ hour workers TP TFC TVC TC 0 1 1.6 2 0 1 2 3 10 10 10 10 0 6 9.6 12 10 16 19.6 22 4 5 8 9 10 10 24 30 34 40 TC TC TVC 10 TFC Q = output Marginal Cost • change in TC due to one-unit increase in output (Q) change in TC = change in Q TP TFC TVC TC MC 0 1 2 3 10 10 10 10 0 6 9.6 12 10 16 19.6 22 6 3.6 2.4 8 9 10 10 24 30 34 40 6 Average Cost (ATC) • = TC/Q • average fixed cost (AFC) • • (TFC/Q) average variable cost (AVC) (TVC/Q) ATC = AFC + AVC TP TFC TVC TC 0 1 2 3 10 10 10 10 0 6 9.6 12 10 16 19.6 22 8 9 10 10 24 30 34 40 AFC AVC AC 10 5 3.33 6 4.8 4 16 9.8 7.33 1.25 1.11 3 3.33 4.25 4.44 AC, MC MC ATC AVC AFC Q = output MC & AC • MC intersects AC at its minimum • MC < AC • AC is falling MC > AC AC is rising AC is U-shaped • why? • AFC falls with Q • AVC falls then rises • decreasing marginal returns so ATC falls, then rises cost & product curves • when MP is at maximum, • MC is at minimum when AP is at maximum, AVC is at minimum what shifts cost curves? • technology make more with same inputs shifts TP, MP, AP up changes ATC curve • changes in factor prices increase fixed costs -- TFC, AFC shift up -- TC shift up increase wages (variable) -- TVC, AVC, MC shift up -- TC shift up IV. LR costs • all inputs (and costs) are variable • what happens if increase plant AND labor by 10%? ATC fall? ATC rise? ATC stay same? Economies of scale • increase inputs 10% • output increase > 10% ATC falls why? gains from specialization -- labor -- capital Diseconomies of scale • increase inputs 10% • output increase < 10% ATC rises why? too hard to control large firm Constant returns to scale • increase inputs 10% output increase = 10% ATC stays same LR Average Cost (LRAC) • lowest average cost when all inputs • are variable SRAC curves from different plant sizes AC ATC1 ATC2 ATC3 ATC4 LRAC Q = output AC ATC1 ATC2 ATC3 ATC4 economies of scale constant diseconomies of scale returns to scale Q = output summary: • costs = implicit + explicit • SR, only labor variable • LR, all inputs variable • Production & costs total, marginal, average fixed, variable