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A company estimates that if x thousand dollars is spent on the marketing of a certain...

A company estimates that if x thousand dollars is spent on the marketing of a certain product, Q(x) thousand units of the product will be sold, where Q(x)= (7x)/(27+x^2)
(a) Determine the domain of the function defined
(b) Determine how much of the product will be sold if the company does not spend any money on marketing

(c) Determine the amount of money the company must spend on marketing to achieve the minimum and maximum quantities. Leave your answers to 2 decimal places

(d) Determine the maximum and minimum quantities that can be sold. Leave your answer to the nearest whole number.

(e) Determine the marketing expendure ranges on which quantity sold is increasing and decreasing marketing and interpret your solution.

(f)Determine what happens as the company invests an infinitely large amount of money on marketing

(g) Use the information given from (a) to (f) to sketch the curve of Q(x).

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