Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supplyx (in thousands of cartons) by the following equation. 625p² - x² =100 If 24000 cartons of eggs are available at the beginning of a certain week and the price is falling the rate of 1c/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=24, solve the supply equation for p whenx = 24.) cartons per week

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Effect of Price on Supply of Eggs 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.
625p²²100
If 24000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 1¢/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 = 24, solve the supply equation for p when x = 24.)
cartons per week
Transcribed Image Text:Effect of Price on Supply of Eggs 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. 625p²²100 If 24000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 1¢/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 = 24, solve the supply equation for p when x = 24.) cartons per week
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