Question

A marine manufacturer will sell N(x) power boats after spending $x thousand on advertising is given by N(x)=1000-(3780/x) for 5≤x≤30

- Find N'(x) with appropriate units. Explain what the first
derivative means in this situation.
*(By hand )* *Find the number of power boats sold and the instantaneous rate of sales after spending $9,000 on advertising. Write a brief explanation of these results.*- Use a table of values to sketch a well labelled graph of this function between $5,000 and $30,000.
*Does the rate of power sales increase or decrease over time? Explain.*

Answer #1

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