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Price–demand equation. The number x of

bicycle helmets people are willing to buy per

week from a retail chain at a price of $p is given by

            x = 1000 − 60 ,            20 ≤ p ≤ 100

(a) Find dx/dp.

(b) Find the demand and the instantaneous rate of change of demand with

respect to price when the price is $75. Write a brief interpretation of these

results.

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