Suppose the wholesale price of a certain brand of medium-sized eggsp(in dollars/carton) is related to the weekly supplyx(in thousands of cartons) by the following equation.

625p^2-x^2=100

If26000cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of5/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value ofpwhenx= 26, solve the supply equation forpwhenx= 26.)