The quantity, q, of a certain skateboard sold depends on the selling price, p, in dollars,...

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The quantity, q, of a certain skateboard sold dependson the selling price, p, in dollars, so we writeq = f(p). You are given thatf(100) = 15200 and f '(100) = ?90.

(a) What does f(100) = 15200 tell you about the salesof skateboards?

When the price of the skateboard is $_________ , then ______skateboards will be sold.

What does f '(100) = ?90 tell you about the sales ofskateboards?

If the price increases from $100 to $101, the number ofskateboards sold would _______ (increase/decrease) byroughly________ skateboards

(b) The total revenue, R, earned by the sale ofskateboards is given by R = pq. Find R'(p).(chose)

-R '(p) = p 'q

-R '(p) = pf '(p) +f(p)   

- R '(p) = p + q

-R '(p) = q

-R '(p) = f '(p) +f(p)

(c) If the skateboards are currently selling for $100, whathappens to revenue if the price is increased to $101?
The revenue  ---Select--- (increases/decreases) byroughly $ _______.

Answer & Explanation Solved by verified expert
4.3 Ratings (947 Votes)
a Since we are given that demand function f100 15200 andf100 90 it means that when price is 100 there are 15200sjateboards being sold and an additional increase in price by    See Answer
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