7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost functions for the production of a hundred bottles of collagen supplement are given by p(x)=x²-x+4 and C(x)=x²³ - 4x +5, respectively, where p and C are in thousand dollars. Determine the number of bottles that must be sold to yield maximum profit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost
functions for the production of a hundred bottles of collagen supplement are given by
p(x)=x²-x+4 and C(x) = ³-4x+5,
respectively, where p and C are in thousand dollars. Determine the number of bottles that must be
sold to yield maximum profit.
Transcribed Image Text:7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost functions for the production of a hundred bottles of collagen supplement are given by p(x)=x²-x+4 and C(x) = ³-4x+5, respectively, where p and C are in thousand dollars. Determine the number of bottles that must be sold to yield maximum profit.
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