A nut company is increasing production of a certain nut at the rate of 45 cases per day. All cases produced can be sold. The daily demand function is given by p = 40 −x/150 where x is the number of units produced (and sold) and p is price in dollars. Find the rate of change of revenue with respect to time (in days) when the daily production is 225 units. The revenue function is given by R = xp.

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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A nut company is increasing production of a certain nut at the rate of 45 cases per day. All cases
produced can be sold. The daily demand function is given by p = 40 −x/150 where x is the number of
units produced (and sold) and p is price in dollars. Find the rate of change of revenue with respect to
time (in days) when the daily production is 225 units. The revenue function is given by R = xp.

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