SOLUTION: 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 w

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Question 1192906: 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.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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..., As a wedding photographer she can earn 10 Jordan Dinars ( JOD) PER HOUR. ...
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x, hours as studio
y, hours as professional

6%3C=x%3C=20
and
x%2By%3C=20

You are looking for the maximum of 8x%2B10y.

That should help you start.

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.

            To be correct,  it must say that  "As a wedding photographer she can earn  10  Jordan Dinars  (JOD)  per hour".

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

            Common sense and a bit of mental reasoning is enough. 


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 ANSWER 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.


Solved and thoroughly explained.


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

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