a)The demand function for a product is modeled by p = 12,000 1 − 7 7 + e−0.001x . Find the price...

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Advance 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 thequantity demanded is x = 1000 units and x = 1500units. What is the limit of the price as x increaseswithout bound?

  x = 1000 units (Round your answer to twodecimal places.)____$
  x = 1500 units (Round your answer to twodecimal places.)___$
What is the limit of the price as x increases withoutbound?___$

B)The population P (in thousands) ofCharlotte, North Carolina from 1980 through 2013 can be modeledby

P =321e0.0275t wheret = 0 corresponds to 1980.† (Round your answersto the nearest whole number.)What was the population of Charlottein 2013? people
In what year will the population of Charlotte reach 1,900,000?

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