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The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is ☐ (Simplify your answer.) 34t A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on a particular task, the researchers determined that the ratings people gave for the film could be approximated by R(t) = where t is the length of the film (in minutes). Find the film length that received the highest rating. +2+289 The film length that received the highest rating is (Simplify your answer.) minutes.

The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is ☐ (Simplify your answer.) 34t A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on a particular task, the researchers determined that the ratings people gave for the film could be approximated by R(t) = where t is the length of the film (in minutes). Find the film length that received the highest rating. +2+289 The film length that received the highest rating is (Simplify your answer.) minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 77PFA
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The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is ☐ (Simplify your answer.)
Transcribed Image Text:The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is ☐ (Simplify your answer.)
34t A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on a particular task, the researchers determined that the ratings people gave for the film could be approximated by R(t) = where t is the length of the film (in minutes). Find the film length that received the highest rating. +2+289 The film length that received the highest rating is (Simplify your answer.) minutes.
Transcribed Image Text:34t A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on a particular task, the researchers determined that the ratings people gave for the film could be approximated by R(t) = where t is the length of the film (in minutes). Find the film length that received the highest rating. +2+289 The film length that received the highest rating is (Simplify your answer.) minutes.
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