In: Advanced Math
a)The demand function for a product is modeled by
p = 12,000
1 −
7 |
7 + e−0.001x |
.
Find the price p (in dollars) of the product when the quantity demanded is x = 1000 units and x = 1500 units. What is the limit of the price as x increases without bound?
x = 1000 units (Round your answer to two
decimal places.)____$
x = 1500 units (Round your answer to two
decimal places.)___$
What is the limit of the price as x increases without
bound?___$
B)The population P (in thousands) of Charlotte, North Carolina from 1980 through 2013 can be modeled by
P =
321e0.0275t where
t = 0 corresponds to 1980.† (Round your answers
to the nearest whole number.)What was the population of Charlotte
in 2013? people
In what year will the population of Charlotte reach 1,900,000?