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Dominick Salvatore Schaums Outline of Microeconomics, 4th edition Schaums Outline Series 2006

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264 RECENT AND ADVANCED TOPICS IN MARKET STRUCTURE [CHAP. 11

11.5 COST-PLUS PRICING

When a firm lacks information to set price according to the MR ¼ SMC profit-maximizing rule, it usually

adopts cost-plus pricing. Here, the firm estimates the average variable cost for a “normal” level of output

(usually between 70 and 80% of capacity) and then adds a markup m over average variable cost to determine

the price of the commodity. The markup is set sufficiently high to cover average variable and fixed costs, and

also to provide a profit margin for the firm. That is,

m ¼ P AVC so that P ¼ AVC(1 þ m)

AVC

The markup is usually inversely related to the price elasticity of demand for the commodity and so it is

consistent with profit maximization (see Problem 11.14).

EXAMPLE 5. If a firm’s AVC ¼ $100 and the firm sets m ¼ 0.20 or 20%, the firm would then set P ¼

$100(1 þ 0.20) ¼ $120. Cost-plus pricing is fairly common in oligopolistic industries. Empirical studies have found that

the markup is about 0.2 or 20% in the steel industry in general but is higher for products facing less elastic demand or

in periods of high demand. Similarly, the retailing sector was found to adjust prices on the basis of feedback from the

market and to reduce the markup and price when the demand for the product declines and becomes more elastic.

11.6 TRANSFER PRICING

The rapid rise of the large-scale enterprise has been accompanied by decentralized operations and the need

for transfer pricing. Transfer pricing refers to the determination of the price of the intermediate products sold by

one semiautonomous division of a firm to another semiautonomous division of the same enterprise. Appropriate

transfer pricing is essential in determining the optimal level of output of each division and of the firm as a

whole. In the absence of an external market for the intermediate product, the transfer price of the intermediate

product is given by the marginal cost of production of the production division at the best level of output of the

intermediate product.

EXAMPLE 6. In Figure 11-3, we assume that there is no external market for the intermediate product and that one unit of

the intermediate product is required to produce each unit of the final product. The marginal cost of the firm, MC, is equal

to the vertical summation of MC p and MC m , the marginal cost curves of the firm’s production and marketing divisions. D m is

the external demand for the final product faced by the firm, and MR m is the corresponding marginal revenue curve. The

firm’s best level of output is 40 units and is given by point E m , at which MR m ¼ MC, so that P m ¼ $14. Since each unit

of the final product requires one unit of the intermediate product, the transfer price for the intermediate product, P t ,is

set equal to MC p at Q p ¼ 40 (point E p ). Thus, P t ¼ $6.

($)

18

14

MC = MC p + MC m

10

P m

Fig. 11-3

E m

MC p

D m

MC m

6

E p

D p = MR p = P t

MR m

0 20 40 60 Q

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