Saturday, July 24, 2010

The number of bottles of shampoo that a store will?

The number of bottles of shampoo that a store will sell in a month at a price of p dollars per bottle is


N(p) = 550 divided by (p+4)


Find the rate of change of this quantity when the price is $ 4 per bottle.








a. increasing by 8.6 bottles





b. increasing by 34.375 bottles





c. decreasing by 34.375 bottles





d. decreasing by 8.6 botlesThe number of bottles of shampoo that a store will?
N(p) = 550 * (p + 4)^-1





First find the derivative of N:





N'(p) = -550(p + 4)^-2





N'(4) = -550 (4 + 4)^-2 = -550 * 8^-2 = -550 * 1/64 = -8.59375 (answer d)The number of bottles of shampoo that a store will?
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