The demand for a certain product is given by p = 27 - 0.01x, where x is the numb

Question

The demand for a certain product is given by p = 27 - 0.01x, where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R = xp. What number of items sold produces a monthly revenue of $10.000? x = items A model rocket is launched upward with an initial velocity of 210 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h = -16t^2 + 210t. How many seconds after the launch will the rocket be 380 feet above the ground? Round to the nearest tenth of a second. s

Explanation / Answer

p = 27 - 0.01x

Revenue = p*x = x( 27 - 0.01x) = 27x - 0.01x^2

Revenue = $ 18000 . solve for x

27x - 0.01x^2 = 18000

-0.01x^2 + 27x - 18000 =0

x = ( 0.01 +/- sqrt(27^2 - 4*0.01*18000))/-0.02

x 1200 , 1500 items

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