Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of a product sold by time t, then ds = as - bs² for some constants a and b. In thousands of units, dt the total number of iPods sold by Apple by the end of 2005 was 4,580, by the end of 2006 it was 18,623, and by the end of 2007 it was 39,689, Using 1 P1 1 1 Po P₁ where Po is the number of units sold by the end of 2005, P, is the number of units sold by the end of 2006, and P₂ is the number of units sold by the end of 2007, and x = ea and s= a = X = b = 1 S 1 PO P₁ 1-x use these three data points to determine a and b. (Round your answer to a to 5 decimal places and round your answer to b to 8 decimal places.) b At the start of 2008 were iPod salds on the concave up or concave down portion of the logistic sales curve? concave up O concave down.
Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of a product sold by time t, then ds = as - bs² for some constants a and b. In thousands of units, dt the total number of iPods sold by Apple by the end of 2005 was 4,580, by the end of 2006 it was 18,623, and by the end of 2007 it was 39,689, Using 1 P1 1 1 Po P₁ where Po is the number of units sold by the end of 2005, P, is the number of units sold by the end of 2006, and P₂ is the number of units sold by the end of 2007, and x = ea and s= a = X = b = 1 S 1 PO P₁ 1-x use these three data points to determine a and b. (Round your answer to a to 5 decimal places and round your answer to b to 8 decimal places.) b At the start of 2008 were iPod salds on the concave up or concave down portion of the logistic sales curve? concave up O concave down.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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Transcribed Image Text:Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of a product sold by time t, then das bs² for some constants a and b. In thousands
dt
the total number of iPods sold by Apple by the end of 2005 was 4,580, by the end of 2006 it was 18,623, and by the end of 2007 it was 39,689. Using
X =
1
1
P-
T
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Po
where Po is the number of units sold by the end of 2005, P, is the number of units sold by the end of 2006, and P, is the number of units sold by the end of 2007, and
1
1
s Po P
1 x
xe and s
b
3
use these three data points to determine a and b. (Round your answer to a to 5 decimal places and round your answer to b to 8 decimal places.).
2 =
b =
concave up
O concave down
1
Po
At the start 2008 were iPod salds on the concave up or concave down portion of the logistic sales curve?
units,
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