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Economies of Scale

Economies of Scale in New Equipment Purchase

Haldi and Whitcomb (1967) estimate the relationship between the cost of new equipment and its capacity (the upper limit on the output that can be produced):

Cost of new equipment = aKb.

If b equals 1, then costs rise proportionately with output. If b is less than 1, costs rise less than in proportion to output. We can interpret b as the percentage increase in costs that results when capacity expands by 1 percent.

Haldi and Whitcomb estimated separate cost relationships for 687 different types of common industrial equipment and found that costs do not increase in proportion to capacity even at very large capacities. As summarized in Table 2.4, for all but 5.4 percent of the products, b is less than 1, indicating economies of scale in the purchase of new equipment. In other words, their data "support the conclusion that there are increasing returns in equipment up to and including the largest sizes built" (p. 377). This result does not imply that all aspects of a firm's average costs decline with output, only that the cost of new equipment does.

TABLE 2.4 Estimates of Economy of Scale in the Purchase of New Equipment

Value of bPercentage
of Products
0-.49
.50-.79
.8-.99
1.0 and above
24.4
56.8
13.4
5.4
SOURCE: Haldi and Whitcomb (1967, 376)

Economies of Scale in Operating Costs

Haldi and Whitcomb also estimate economies of scale in operating costs. They define operating cost as in-plant production costs less taxes and capital costs, and they base their analysis on engineering cost estimates. They estimate the same type of relationship as they did for new equipment, and they find (Table 2.5) that the values for b are well below 1 for a large percentage of products, again indicating strong scale economies. For example, for over 70 percent of the products, a 10 percent increase in output leads to less than an 8 percent increase in operating cost.

TABLE 2.5 Economies of Scale in Operating Cost

Value of bPercentage
of Estimates
0-.49
.5-.79
.8-1.0
15.1
56.3
28.1
SOURCE: Haldi and Whitcomb (1967, 382).
SOURCE:

Haldi, John, and David Whitcomb. 1967. "Economies of Scale in Industrial Plants." Journal of Political Economy 75:373-85.

© 2000 Dennis W. Carlton and Jeffrey M. Perloff. Reprinted by permission.





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