Repeat Problem 29 for
x2+2xp + 25p2 = 74,500
Problem29
The price p (in dollars) and demand x for a product are related by
2x2 + 5xp+ 50p2 = 80,000
(A) If the price is increasing at a rate of $2 per month when the price is $30, find the rate of change of the demand.
(B) If the demand is decreasing at a rate of 6 units per month when the demand is 150 units, find the rate of change of the price.