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Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related...

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

625p2 − x2 =100

If 32000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p when x = 32, solve the supply equation for p when x = 32.)

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