15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given k following equation R(t)= t³ -13.5t² +42t+60, where 0≤t≤12, and "t" represents time in hours that have gone by. Find the time, within that 12hr. interval, where the radiati level is at its minimum and when it is at its maximum. 16. A certain company has determined that its profit after producing and selling "x" number articles is given by P(x)= −2x³ +24x² −42x+100, where "x" is measured in hundreds should be 0≤x≤12. Determine: a) The number of articles that give the maximum profit b) The number of articles that give the minimum profit
15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given k following equation R(t)= t³ -13.5t² +42t+60, where 0≤t≤12, and "t" represents time in hours that have gone by. Find the time, within that 12hr. interval, where the radiati level is at its minimum and when it is at its maximum. 16. A certain company has determined that its profit after producing and selling "x" number articles is given by P(x)= −2x³ +24x² −42x+100, where "x" is measured in hundreds should be 0≤x≤12. Determine: a) The number of articles that give the maximum profit b) The number of articles that give the minimum 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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Transcribed Image Text:15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given by the
following equation R(t)= t³ −13.5t² +42t+60, where 0≤t≤12, and "t" represents the
time in hours that have gone by. Find the time, within that 12hr. interval, where the radiation
level is at its minimum and when it is at its maximum.
16. A certain company has determined that its profit after producing and selling "x" number of
articles is given by P(x)= −2x³ +24x² − 42x+100, where "x" is measured in hundreds and
should be 0≤x≤12. Determine:
a) The number of articles that give the maximum profit
b) The number of articles that give the minimum profit
Transcribed Image Text:9. A company determined that the cost function for the company is given by C(x) = 200+ 6x
and the income by 1(x)=28x-0.04x², where "x" represents the number of items produced
and sold. Determine the number of items that will give the maximum profit (profit = income -
cost) and determine the maximum profit.
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