Annual net sales. Green Mountain Coffee Roasters produces many varieties of flavored coffees, teas, and K -cups. Since 2008, the net sales S of the company have grown exponentially at the rate of 46.3% per year. The grown can be approximated by d S d t = 0.463 S , where t is the number of years since 2008. ( Source : Green Mountain Coffee Roasters financial statements.) a. Find the function that satisfies the equation, given that net sales in 2008 ( t = 0 ) were approximately $500,000. b. Estimate net sales in 2012 and 2016. c. What is the doubling time for S ( t ) ?
Annual net sales. Green Mountain Coffee Roasters produces many varieties of flavored coffees, teas, and K -cups. Since 2008, the net sales S of the company have grown exponentially at the rate of 46.3% per year. The grown can be approximated by d S d t = 0.463 S , where t is the number of years since 2008. ( Source : Green Mountain Coffee Roasters financial statements.) a. Find the function that satisfies the equation, given that net sales in 2008 ( t = 0 ) were approximately $500,000. b. Estimate net sales in 2012 and 2016. c. What is the doubling time for S ( t ) ?
Solution Summary: The author explains how to calculate the function that satisfies dStt=0.463S, if sales value is 500,000.
Annual net sales. Green Mountain Coffee Roasters produces many varieties of flavored coffees, teas, and K-cups. Since 2008, the net sales S of the company have grown exponentially at the rate of 46.3% per year. The grown can be approximated by
d
S
d
t
=
0.463
S
,
where t is the number of years since 2008. (Source: Green Mountain Coffee Roasters financial statements.)
a. Find the function that satisfies the equation, given that net sales in 2008
(
t
=
0
)
were approximately $500,000.
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