ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Costs in the short run versus in the long run
Scooter’s Scooters is a large American manufacturer of electric scooters operating out of Detroit. Currently, the company produces all of its scooters using a single manufacturing facility, its factory in town. Recently, management has been considering expanding operations to one or two additional factories. The following table presents the manufacturer’s monthly short-run average total cost (SRATC) for various levels of production if it operates out of one, two, or three factories. (Note: Q equals the total quantity of scooters produced by all factories.)
Number of Factories
|
Average Total Cost
|
|||||
---|---|---|---|---|---|---|
(Dollars per scooter)
|
||||||
Q = 100
|
Q = 200
|
Q = 300
|
Q = 400
|
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 Scooter’s Scooters is currently producing 100 scooters per month in its only factory. Its short-run average total cost is
per scooter.
Suppose Scooter’s Scooters is expecting to produce 100 scooters per month for several years. In this case, in the long run, it would choose to produce scooters using .
On the following graph, plot the three SRATC curves for Scooter’s Scooters from the previous table. Specifically, use the green points (triangle symbol) to plot its SRATC curve if it operates one factory (SRATC1SRATC1); use the purple points (diamond symbol) to plot its SRATC curve if it operates two factories (SRATC2SRATC2); and use the orange points (square symbol) to plot its SRATC curve if it operates three factories (SRATC3SRATC3). Finally, plot the long-run average total cost (LRATC) curve for Scooter’s Scooters 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.
SRATC1SRATC2SRATC3LRATC0100200300400500600700800720640560480400320240160800AVERAGE TOTAL COST (Dollars per scooter)QUANTITY (Scooters)
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 scooter production.
Range
|
Economies of Scale
|
Constant Returns to Scale
|
Diseconomies of Scale
|
|
---|---|---|---|---|
More than 400 scooters per month |
|
|
|
|
Between 300 and 400 scooters per month |
|
|
|
|
Fewer than 300 scooters per month |
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