Ike’s Bikes is a major manufacturer of bicycles. Currently, thecompany produces bikes using only one factory. However, it isconsidering expanding production to two or even three factories.The following table shows the company’s short-run average totalcost (SRATC) each month for various levels of production if it usesone, two, or three factories. (Note: Q equals the total quantity ofbikes produced by all factories.)
Average total cost (dollars per bike)
# of factories | Q=25 | Q=50 | Q=75 | Q=100 | Q=125 | Q=150 |
1 | 130 | 100 | 80 | 100 | 140 | 200 |
2 | 165 | 120 | 80 | 80 | 120 | 165 |
3 | 200 | 140 | 100 | 80 | 100 | 130 |
Suppose Ike’s Bikes is currently producing 25 bikes per month inits only factory. Its short-run average total cost is
per bike.
Suppose Ike’s Bikes is expecting to produce 25 bikes per monthfor several years. In this case, in the long run, it would chooseto produce bikes using   .
On the following graph, plot the three SRATC curves for Ike’sBikes from the previous table. Specifically, use the green points(triangle symbol) to plot its SRATC curve if it operates onefactory (SRATC1SRATC1); use the purple points (diamond symbol) toplot its SRATC curve if it operates two factories (SRATC2SRATC2);and use the orange points (square symbol) to plot its SRATC curveif it operates three factories (SRATC3SRATC3). Finally, plot thelong-run average total cost (LRATC) curve for Ike’s Bikes using theblue points (circle symbol).
Note: Plot your points in the order in which you would like themconnected. Line segments will connect the points automatically.
Plot SRATC1 SRATC2 SRATC3 SRATC
200
180
160
140
120
100
0 25 50 75 100 125 150 175\
In the following table, indicate whether the long-run averagecost 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 |
---|
More than 100 bikes per month | | | | |
Fewer than 75 bikes per month | | | | |
Between 75 and 100 bikes per month | | | | |