Question

6.4) 1. U.S. Internet advertising revenue grew at the rate of

R(t) = 0.82t + 1.14    (0 ≤ t ≤ 4)

billion dollars/year between 2002

(t = 0)

and 2006

(t = 4).

The advertising revenue in 2002 was $5.9 billion.†

(a)

Find an expression f(t) giving the advertising revenue in year t.

f(t) =

(b)

If the trend continued, what was the Internet advertising revenue in 2009? (Enter your answer in billions of dollars. Round your answer to two decimal places.)

$ billion

6.5 1.) The increase in carbon dioxide (CO₂) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO₂ in the atmosphere from 1958 through 2010 is approximated by

A(t) = 0.012313t² + 0.7545t + 313.9    (1 ≤ t ≤ 53)

where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO₂ in the atmosphere from 1958 through 2010. (Round your answer to two decimal places.)

6.7.1) It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is

p =

529 − 8x

dollars. Determine the consumers' surplus if the market price is set at $15/unit. (Round your answer to two decimal places.)
$

6.7.2) The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is

p = 150 + 90e^0.04x

dollars.

(a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $400/mattress. (Round your answer to the nearest integer.)
mattresses

(b) Use the result of part (a) to find the producers' surplus if the unit price is set at $400/mattress. (Round your answer to the nearest dollar.)
$

Answer 1