Question 1192906
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Tala is a semi profession photographer in her spare time. As a wedding photographer she can earn 10 Jordan Dinars ( JOD). 
As a studio photographer she can earn 8 JOD an hour. She wants to spend at least 6 hours as a studio photographer. 
She can only work for a maximum of 20 hours a week. 
Obtain inequalities and graph your solution to find her maximum possible weekly earnings.
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            First,  the formulation is  OBVIOUSLY  incorrect.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;To be correct, &nbsp;it must say that &nbsp;"As a wedding photographer she can earn &nbsp;10 &nbsp;Jordan Dinars &nbsp;(JOD) &nbsp;<U>per hour</U>".


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Second, &nbsp;to solve this problem, &nbsp;you do not need to follow a standard procedure solving LP problems.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Common sense and a bit of mental reasoning is enough.



<pre>
She wants to earn maximum money.


For it, she should work at the greater hour salary as long as possible: as long as the restrictions do allow.


The restrictions allow her to work 20-6 = 14 hours at the rate of 10 JOD per hour.

The remaining 6 hours she wants to work at the rate of 8 JOD per hour.



It is the solution and the <U>ANSWER</U> to the problem:


    At given conditions, the maximum earning is  14*10 + 6*8 = 188 JOD.

    It is achieved at 14 hours working at 10 JOD per hour and 6 hours working at 8 JOD per hour.
</pre>


Solved and thoroughly explained.



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I hope that you will get much more benefits from this mental solution than from formal &nbsp;LP-solution.


It is the way on how this simple problem &nbsp;SHOULD &nbsp;BE &nbsp;solved and &nbsp;how it IS &nbsp;EXPECTED &nbsp;to be solved among reasonable people.