Question

In: Advanced Math

a)The demand function for a product is modeled by p = 12,000 1 − 7 7...

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?

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