Question

In: Economics

Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory

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.)

Number of Factories

Average Total Cost

(Dollars per bike)

Q = 50Q = 100Q = 150Q = 200Q = 250Q = 300
1220140120160240400
2310190120120190310
3400240160120140220

Suppose Ike’s Bikes is currently producing 300 bikes per month in its only factory. Its short-run average total cost isper bike.

Suppose Ike’s Bikes is expecting to produce 300 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using (one factory, two factories, three factories).

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 (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 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.

SRATC1SRATC2SRATC3LRATC05010015020025030035040036032028024020016012080400AVERAGE TOTAL COST (Dollars per bike)QUANTITY OF OUTPUT (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

More than 200 bikes per month



Fewer than 150 bikes per month



Between 150 and 200 bikes per month



Solutions

Expert Solution

Suppose Ike’s Bikes is currently producing 300 bikes per month in its only factory. Its short-run average total cost is 400 per bike.

Suppose Ike’s Bikes is expecting to produce 300 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using three factories as the long run cost is lowest there.

No. Of Factories 50 100 150 200 250 300
SRATC 1 220 140 120 160 240 400
SRATC 2 310 190 120 120 190 310
SRATC 3 400 240 160 120 140 220

Plot the graph as follows:

Connect all the lowest points,this would represent the LRATC curve of the firm

Range

Economies of Scale

Constant Returns to Scale

Diseconomies of Scale

More than 200 bikes per month Yes
Fewer than 150 bikes per month Yes
Between 150 and 200 bikes per month Yes

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