In: Math
Calculus
The marketing department for a cell phone telephone company has
determined that the demand for their phone obeys the following
relationship: p= -0.02+200 , (0 ≤ p ≤10,000) , where p denotes the
phone’s unit price (in dollars) and x the quantity demanded. This
type of question is much easier when you use your calculator, I
just need to know what you did when you give me an answer using
it,
(a) Express the revenue as a function of x: Round all of the
following answers to the nearest penny when necessary.
(b) Find the rate of change in the revenue between the 2,000th and
4,000th phone.
(c) Find the rate in change of revenue from the sale of the 5,118th
phone.
(d) Find the exact revenue from the sale of the 815th
telephone.
(e) Use the marginal revenue function to estimate the revenue from
the sale of the 815th phone. (f) Find the average revenue from the
sale of 3000 phones.