Answer Happy

3. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Alyssa is a professional basketball player, and her game log for free throws can be summarized in the following table. Fill in the columns with Alyssa's free-throw percentage for each game and her overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 6/8 6/8 75 75 2 2/8 8/16 3 2/4 10/20 4 8/10 18/30 5 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Alyssa's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.

On the following graph, plot Douglas Fur's average total cost (ATC) curve using the green points (triangle symbol). Next, plot its average variable cost (AVC) curve using the purple points (diamond symbol). Finally, plot its marginal cost (MC) curve using the orange points (square symbol). (Hint: For ATC and AVC, plot the points on the integer; for example, the ATC of producing one pair of boots is $160, so you should start your ATC curve by placing a green point at (1, 160). For MC, plot the points between the integers: For example, the MC of increasing production from zero to one pair of boots is $100, so you should start your MC curve by placing an orange square at (0.5, 100).) Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. ? 200 175 ATC 150 125 AVC COSTS (Dollars per pair) 100 MC 75 50 25 0 0 1 5 6 2 3 4 QUANTITY (Pairs of boots)

4. Various measures of cost Douglas Fur is a small manufacturer of fake-fur boots in Dallas. The following table shows the company's total cost of production at various production quantities. Fill in the remaining cells of the following table. Quantity (Pairs) Total Cost (Dollars) Marginal Cost (Dollars) Fixed Cost (Dollars) Variable Cost (Dollars) Average Variable Cost (Dollars per pair) Average Total Cost (Dollars per pair) 0 60 1 160 2 220 MAMA 3 270 4 340 5 450 6 630

On the following graph, plot the three SRATC curves for Ike's Bikes from the previous table. Specifically, use the green points (triangle symbol) to plot its SRATC curve if it operates one factory (SRATC1); use the purple points (diamond symbol) to plot its SRATC curve if it operates two factories ( SRATC2); and use the orange points (square symbol) to plot its SRATC curve if it operates three factories (SRATC3). Finally, plot the long-run average total cost (LRATC) curve for Ike's Bikes using the blue points (circle symbol). Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 800 A 720 640 SRATC 560 480 SRATC2 AVERAGE TOTAL COST (Dollars per bike) 400 320 SRATC 240 O 160 LRATC 80 0 0 100 200 500 600 700 300 400 QUANTITY (Bikes)

In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production. Range Economies of Scale Constant Returns to Scale Diseconomies of Scale Between 300 and 400 bikes per month оо O o Fewer than 300 bikes per month More than 400 bikes per month 0

5. Costs in the short run versus in the long run Ike's Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company's short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.) Average Total Cost (Dollars per bike) Q = 300 Q = 400 Number of Factories Q = 100 Q = 200 Q = 500 Q = 600 1 360 200 160 240 400 720 2 540 300 160 160 300 540 3 720 400 240 160 200 360 Suppose Ike's Bikes is currently producing 100 bikes per month in its only factory. Its short-run average total cost is $ per bike. Suppose Ike's Bikes is expecting to produce 100 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using