Cost, Revenue, and Profit A company that manufactures sport supplements calculates that its cost C and revenue R can be modeled by the equations C = 145,000 + 0.85x and R = 220x - 1 2 where x is the number of units of sport supplements produced in 1 week. Production during one particular week is 1,000 units and is increasing at a rate of 150 units per week. Find the rate of change (in dollars per week) of the following. (a) cost dC dollars/week dt (b) revenue dR dollars/week dt (c) profit dollars/week dt

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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Cost, Revenue, and Profit A company that manufactures sport supplements calculates that its cost C and revenue R can be modeled by the equations
C = 145,000 + 0.85x and R = 220x
1 x2
10
where x is the number of units of sport supplements produced in 1 week. Production during one particular week is 1,000 units and is increasing at a rate of 150 units per week. Find the rate of change
(in dollars per week) of the following.
(а) cost
dC
dollars/week
dt
(b) revenue
dR
dollars/week
dt
(c) profit
dP
dollars/week
dt
II
Transcribed Image Text:Cost, Revenue, and Profit A company that manufactures sport supplements calculates that its cost C and revenue R can be modeled by the equations C = 145,000 + 0.85x and R = 220x 1 x2 10 where x is the number of units of sport supplements produced in 1 week. Production during one particular week is 1,000 units and is increasing at a rate of 150 units per week. Find the rate of change (in dollars per week) of the following. (а) cost dC dollars/week dt (b) revenue dR dollars/week dt (c) profit dP dollars/week dt II
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