Assignment:
A company determines that if x thousand dollars are spent on advertising a certain product, then S(x) units of the product will be sold, where
S(x) = 200x + 1,500 / 0.02x^2 + 5
a) Sketch the graph of S(x).
b) Using the graph, how many units will be sold if nothing is spent on advertising?
c) Using the graph, how much should be spent on advertising to maximize sales? What is the maximum sales level?
Provide complete and step by step solution for the question and show calculations and use formulas.