A company finds that consumer demand quantity changes with r

A company finds that consumer demand quantity changes with respect to price at a rate given by D\'(p) = -3000/p2. Find the demand function if the company knows that 806 units of the product are demanded when the price is $5 per unit. D(p) = 300/P + 206 D(p) = 600/P + 806 D(p) = 300/P3 + 206 D(p) = 300/P + 806

Solution

D(p) = 3000/P + c D = 806 when P = $5 806 = 3000/5 + c 206 = c Hence, D(p) = 3000/P + 206