The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the number of units demanded, x. Suppose that for a certain commodity, the consumer expenditure is given by

13,000p - 135p^2.

(a) Factor this in order to find an expression for the number of units demanded. (Simplify your answer completely.)

x =

(b) Use (a) to find the number of units demanded when the market price is $36.

x =

Question

Ellen Oconnor

Mathematics

4 December, 03:08

The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the number of units demanded, x. Suppose that for a certain commodity, the consumer expenditure is given by

13,000p - 135p^2.

(a) Factor this in order to find an expression for the number of units demanded. (Simplify your answer completely.)

x =

(b) Use (a) to find the number of units demanded when the market price is $36.

x =

+5

Answers (1)

Know the Answer?

Gustavo Castillo · Answer 1

(a) x = 13000 - 135p

(b) x = 8140

Step-by-step explanation:

(a) consumer expenditure = 13000p - 135p^2 = p (13000 - 135p)

= px

so, x = 13000 - 135p

__

(b) Filling in p=36, we find ...

x = 13000 - 135·36

x = 8140