PLEASE CORRECT THE RED!! The quantity, q of a certain skateboard sold depends on

Question

PLEASE CORRECT THE RED!!

The quantity, q of a certain skateboard sold depends on the selling price p in dollars, so we write q f (p You are given that f(160) 19,800 and f (160 105 Correct (a) What do f (160 19,800 and f (160) 105 tell you about the sales of skateboards? Enter the change as a positive value. the number of skateboards that will be sold is f (160) 19,800 means that if the price of a skateboard is 160 19800 boards. then U if the price is increased by $1, sales will decrease by IT 105 f (160 105 means that if the price of a skateboard is 160 U boards. then

Explanation / Answer

b) dR/dp = d( pq) /dp = q + p*f'(160)

= 19800 -105*160 = 3000

C)

dR/dp >0 ,the price is increased to $161, revenue increases by about $3000.

sign is positive implying as price goes up so does revenue

a good approximation of change in revenue given p = 146 is revenue goes up 3000

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