Question 1143181
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<pre>
The problem is to maximize the total number of exposing ads-persons


    P(X,Y) = 76.4X + 66.2Y    millions of ads-persons    (OBJECTIVE FUNCTION)


under this restrictions 


    1200X + 1100Y <= 35000,

    X >= 0,  Y >= 10,


where X and Y are the number of months for the ad at AOL and Yahoo, respectively.


It is standard simple geometric 2D linear minimax problem to be solved by the Linear Programming method.


So, draw the feasible area - in this case it is a quadrilateral at QI;

    find the coordinates of the corners;

    calculate the objective function at the corners,  and

    determine at which corner the objective function has a maximum.


This point (this corner) will be the solution point to the problem.
</pre>


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See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-minimax-problems-by--the-Linear-Programming-method.lesson>Solving minimax problems by the Linear Programming method</A> 

at his site.  Find there many similar solved problems, that are your TEMPLATES.


See also this list of links

https://www.algebra.com/algebra/homework/Inequalities/Inequalities.faq.question.1142000.html 

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1137172.html

https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1136382.html

https://www.algebra.com/algebra/homework/Coordinate-system/Coordinate-system.faq.question.1134444.html

https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1131906.html

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1131043.html

https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1129285.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1128383.html  (*!*)

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1123217.html   (!)

https://www.algebra.com/algebra/homework/playground/test.faq.question.1112482.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1102103.html

to similar solved problems in the archive of this forum.



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I assume that this problem is for 10-th or 11-th grade school student or a College student.


At this stage, the student do not need to be a spoon-feeded.


Having a good sample, he (or she) can do the rest on his (or her) own.


Good samples are just provided and the setup is just done.


Try to do the rest on your own.