The price p (in dollars) and demand x for a product are related by:

2x2+6xp+25p2=40000

(A) If the price is increasing at a rate of $2.50 per month when the price is $38.00, find the rate of change of the demand.

(B) If the demand is decreasing at a rate of 4 units per month when the demand is 125 units, find the rate of change of the price.