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Economics 111.3 Winter 14 March 10th, 2014 Lecture 21 Ch. 11: Output and costs Test 3 • Friday, March 14th, 2014 • 8:30 – 9:20 Room 200 STM • Chapters to be tested: 9, 10 (up to p. 231) and 11 (short-run costs only) • Format: Multiple-Choice Questions (MCQ): 30 questions – 100% of Test mark Time – 50 minutes Short-Run Production Relationship: a recap Average product (the same as labour productivity) is calculated by dividing total output by the number of workers who produced it. The Law of Diminishing Marginal Productivity (Diminishing Returns) • The law of diminishing marginal productivity states that as more and more of a variable input is added to an existing fixed input, after some point the additional output obtained from the additional input will fall. • This law is also called the flowerpot law, because it if did not hold true, the world’s entire food supply could be grown in a single flower pot. units of labour 0 1 2 3 4 5 6 7 8 TP 0 10 25 45 60 70 75 75 70 MP AP= 10 15 20 15 10 5 0 -5 AP total product total labour input 10.00 12.50 15.00 15.00 14.00 12.50 10.71 8.75 Marginal & Average Values • If the average value is rising, the marginal value must be ABOVE the average value • If the average value is falling, the marginal value must be BELOW the average value Profit = Total revenue – Economic cost Costs of production in the short run are: Fixed Costs, Variable Costs, and Total Costs. Fixed Costs • Fixed costs are those that are spent and cannot be changed in the period of time under consideration. • Fixed costs do not vary with changes in output (e.g., firm’s debt, rental payments, interest, insurance premiums) • In the long run there are no fixed costs since all costs are variable. • Sunk costs – a subset of fixed costs that are not recoverable if a firm goes out of business. Examples: advertising expenditures, purchasing the advice of a management consultant, market research Variable Costs • Variable costs are costs that change as output changes, such as the costs of labour and materials. • NB! The increases in variable costs associated with succeeding one-unit increase in output are not equal Total Costs • The sum of the variable and fixed costs are total costs: TC = FC + VC Average Cost Average fixed cost (AFC) is total fixed cost per unit of output. Average variable cost (AVC) is total variable cost per unit of output. Average total cost (ATC) is total cost per unit of output. Average Cost How are the average cost curves related to each other? TC TFC TVC TC TFC TVC Q Q Q OR ATC AFC AVC Q 0 1 2 3 4 5 6 7 8 9 10 TFC 100 100 100 100 100 100 100 100 100 100 100 TVC 0 90 170 240 300 370 450 540 650 780 930 TC AFC AVC ATC AFC=TFC / Q 100 190 100 270 50 340 33.33 25 400 20 470 550 16.67 640 14.29 750 12.50 880 11.11 1030 10 MC Q 0 1 2 3 4 5 6 7 8 9 10 TFC TVC TC AFC 100 0 AVC=TVC /100 Q 100 90 190 100 100 170 270 50 100 240 340 33.33 25 100 300 400 100 370 20 470 100 450 550 16.67 100 540 640 14.29 100 650 750 12.50 100 780 880 11.11 100 930 1030 10 AVC 90 85 80 75 74 75 77.14 81.25 86.67 93 ATC MC Q 0 1 2 3 4 5 6 7 8 9 10 TFC TVC 100 0 ATC=TC 100 90 100 170 100 240 100 300 100 370 100 450 100 540 100 650 100 780 100 930 TC AFC / 100 Q 190 100 270 50 340 33.33 25 400 20 470 550 16.67 640 14.29 750 12.50 880 11.11 1030 10 AVC ATC 90 85 80 190 135 75 74 75 113.33 100 94 77.14 91.67 91.43 81.25 93.75 86.67 97.78 93 103 MC Marginal cost (MC) is the increase in total cost that results from a one-unit increase in output. It equals the increase in total cost divided by the increase in output. Marginal cost decreases at low outputs because of the gains from specialization, but eventually increases due to the law of diminishing returns. Q 0 1 2 3 4 5 6 7 8 9 10 TFC 100 100 100 100 100 100 100 100 100 100 100 TVC 0 90 170 240 300 370 450 540 650 780 930 TC AFC AVC MC= TC 100 190 100 270 50 340 33.33 25 400 20 470 550 16.67 640 14.29 750 12.50 880 11.11 1030 10 90 85 80 75 74 75 / ATC Q 190 135 113.33 100 94 77.14 91.67 91.43 81.25 93.75 86.67 97.78 93 103 MC 90 80 70 60 70 80 90 110 130 150 • Average fixed cost declines continuously as output increases • Average-Variable-Cost and Average-Total-Cost curves are U-shaped, reflecting increasing and then diminishing returns • The Marginal-Cost curve falls when marginal returns increase, and rises when marginal returns diminish. • The Marginal-Cost curve intersects both the Average-Variable- and Average-Total Cost curves at their minimum points. Cost (dollars per sweater) Marginal Cost and Average Costs 15 ATC = AFC + AVC MC ATC AVC 10 5 AFC 0 5 10 15 Output (sweaters per day) b) “At the current output level, this factory is subject to diminishing returns. Therefore, the firm is operating along the upward-sloping portion of its short-run average total cost curve”. b) “At the current output level, this factory is subject to diminishing returns. Therefore, the firm is operating along the upward-sloping portion of its short-run average total cost curve”.