Mathematics Homework Help

I need support with this Linear Algebra question so I can learn better.

I have attached all of the information that is needed in order to answer this question. I need all of the math to be done for the question. It is a linear programming question. You must find the system of inequalities for the scenarios and describe them. You must also graph all of the system of inequalities in order to find 5 points to find the objective function in order to find the maximum earnings he could make. Please label everything that is needed and please remember to graph everything.