The cost, in dollars, to produce a designer dog leashes is C(x) = 5x + 9, and the price-demand function, in dollars per leash, is p(x) = 141 - 4x Find the profit function. P(x) = -4x²+ 136x - 9 Find the number of leashes which need to be sold to maximize the profit. x=17 x dogs ✓x What price must they charge to attain this maximum profit? 1147 X dollars

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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The cost, in dollars, to produce a designer dog leashes is C(x) = 5x + 9, and the price-demand function,
in dollars per leash, is p(x) = 141 – 4x
Find the profit function.
P(x) =
-4x² + 136x
=
-
9
Find the number of leashes which need to be sold to maximize the profit.
x=17
X dogs
X
What price must they charge to attain this maximum profit? 1147
X dollars
Transcribed Image Text:The cost, in dollars, to produce a designer dog leashes is C(x) = 5x + 9, and the price-demand function, in dollars per leash, is p(x) = 141 – 4x Find the profit function. P(x) = -4x² + 136x = - 9 Find the number of leashes which need to be sold to maximize the profit. x=17 X dogs X What price must they charge to attain this maximum profit? 1147 X dollars
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