For every dollar increase in the price of music cds sold by a record label, the demand for the cds drops by 100. however, 4,000 cds have already been preordered. if x is the price of a cd, which statement is true about the revenue, r, of the record label? a. the equation r = -100x2 + 4,000x can be used to find that the maximum revenue earned by the record label from cd sales is $10,000. b. the equation r = -100x2 + 4,000x can be used to find that the maximum revenue earned by the record label from cd sales is $40,000. c. the equation r = -4,000x2 + 100x can be used to find that the maximum revenue earned by the record label from cd sales is $10,000. d. the equation r = -4,000x2 + 100x can be used to find that the maximum revenue earned by the record label from cd sales is $40,000.

Option B

Step-by-step explanation:

Given that for every dollar increase in the price of music CDs sold by a record label, the demand for the CDs drops by 100. However, 4,000 CDs have already been pre ordered.

x- price of a CD

R-revenue

Since 4000 already ordered for price x, this revenue will not change

= 4000x

dx/dp = -100 (rate of change of x with respect to price is negative 100)

So x= -100p

Revenue = price (x) = -100x^2

So total revenue including for 4000 is

To find maximum we can use derivative test.

-200x+4000 =0 gives x =20

II derivative =-200<0

So maximum revenue when x =20 and max rev

=

Option B is right

if this is really you s much. i only have 3 points left and i have 2 questions to ask

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb