The marginal price dp/dx at x units of demand per week is proportional to the price p.

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The marginal price dp/dx at x units of demand per week is proportional to the price p. There is no weekly demand at a price of $1000 per unit [p(0) = 1000], and there is a weekly demand of 10 units at a price of $367.88 per unit [p(10) = 367.88].

(A) Find the price–demand equation.

(B) At a demand of 20 units per week, what is the price?

(C) Graph the price–demand equation for 0 ≤ x ≤ 25.

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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