10.09.2021 Views

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

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

286 INPUT PRICING AND EMPLOYMENT [CHAP. 13

rises. If there are 100 identical and perfectly competitive firms purchasing input A, each buys six units of input A at P a ¼ $4

(see point E on d 0 a in Fig. 13-2). Fig. 13-3

13.7 RENT AND QUASI-RENT

Any payment for an input over and above the minimum amount needed to bring forth its supply is rent.

Rent is a long-run concept; it is the entire payment made to an input whose supply is completely fixed (see

Problem 13.10).

Quasi-rent is a payment which need not be made in the short run in order to bring forth the supply of an

input. Thus, quasi-rent equals TR minus TVC (see Problems 13.11 and 13.12).

Perfect Competition in the Input Market and Monopoly in the Product

Market

13.8 PROFIT MAXIMIZATION AND LEAST-COST INPUT COMBINATIONS

The firm, which is the monopolistic (or an imperfectly competitive) seller of commodity X but a perfectly

competitive buyer of inputs A and B, will maximize its total profits when

(see Problems 13.13 and 13.14).

MP a

P a

¼ MP b

P b

¼ 1

MC x

¼ 1

MR x

13.9 THE DEMAND CURVE OF THE FIRM FOR ONE VARIABLE INPUT

When input A is the only variable input for the monopolistic seller of commodity X, the firm’s demand

curve for input A is given by its MRP a curve, which now lies below the VMP a curve because MR x is

smaller than P x . The MRP a ¼ MP a

. MR x and measures the change in the monopolist’s TR in selling the

output of commodity X that results from the employment of one additional unit of input A.

EXAMPLE 5. The first three columns of Table 13.2 are the same as in Table 13.1. Column (4) gives the declining prices at

which the monopolist can sell increasing quantities of commodity X. The TR x values of column (5) are obtained by multiplying

Q x by P x . The MRP a values of column (6) are then obtained from the difference between successive TR x values of

column (5). That is, the MRP a measures the change in the monopolist’s TR in selling the output of commodity X that results

from the employment of one additional unit of input A (together with fixed quantities of other inputs). More briefly,

MRP a ¼ DTR x /Dq a . The MRP a is also equal to the MP a times the MR x (see Problem 13.15). With monopoly (or imperfect

competition) in the product market, MR x , P x and so MRP a ¼ MP a

. MR x , MP a

. P x ¼ VMP a . The MRP a values in

column (6) fall because both the MP a and the MR x fall. Columns (6) and (1) of Table 2 represent the demand schedule

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!