Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is related to the weekly supply x (in thousands of cartons) by the equation 625p 2 − x 2 = 100 If 25 thousand cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of $0.02/carton per week, at what rate is the weekly supply falling? (Hint: To find the value of p when x = 25, solve the supply equation for p when x = 25.)

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