Question

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 =

Answer 1

Answer:

  (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