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Sales Growth In this exercise, we develop a model for the growth rate G, in thousands of dollars per year, in sales of the product as a function of the sales level s, in thousands of dollars. The model assumes that there is a limit to the total amount of sales that can be attained. In this situation, we use the term unattained sales for difference this limit and the current sales level. For example, if we expect sales grow to 3 thousand dollars in the long run, then
a. Find the formula for unattained sales.
b. Write an equation that shows the proportionality relation for G.
c. On the basis of the equation from the part b, make a graph of G as a function of s.
d. At what sales level is the growth rate as large as possible?
e. What is the largest possible growth rate?
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