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4. A small company has determined that its profit ("P") depends on the money spent on publicity 8x x² +16 ("x"), according to the function P(x)= +10, where both "P" and "x" are measured in thousands of dollars. Find the amount of money that should be spent in publicity to get the maximum revenue.

4. A small company has determined that its profit ("P") depends on the money spent on publicity 8x x² +16 ("x"), according to the function P(x)= +10, where both "P" and "x" are measured in thousands of dollars. Find the amount of money that should be spent in publicity to get the maximum revenue.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. A small company has determined that its profit ("P") depends on the money spent on publicity 8x x² +16 ("x"), according to the function P(x)= +10, where both "P" and "x" are measured in thousands of dollars. Find the amount of money that should be spent in publicity to get the maximum revenue.
Transcribed Image Text:4. A small company has determined that its profit ("P") depends on the money spent on publicity 8x x² +16 ("x"), according to the function P(x)= +10, where both "P" and "x" are measured in thousands of dollars. Find the amount of money that should be spent in publicity to get the maximum revenue.
A company determined that its income "I", in thousands of pesos, is given by I(x)=4-10x+20x² – 3x³, where "x" represents the amount of items produced and sold, in hundreds of items. Find the number of items that should be produced to get the maximum income.
Transcribed Image Text:A company determined that its income "I", in thousands of pesos, is given by I(x)=4-10x+20x² – 3x³, where "x" represents the amount of items produced and sold, in hundreds of items. Find the number of items that should be produced to get the maximum income.
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