.
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.
~~~~~~~~~~~~~~~~~~~
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.
----------------
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.