Sketch the Feasible Region, and Use Linear Programming to Find $\mathrm{z}$

Short Answer

Sketch the feasible region, and use linear programming to find the maximum value of $\mathrm{z}$ on the feasible region.
-A college would like to offer a new course in ethnic studies and would like to offer some scholarship places to low-income students. The maximum number of students that can enroll for the course is 70 . The number of fee paying students must be at least 20 more than the number of scholarship students. Set up and graph a system of inequalities for the situation, letting $x$ represent the number of scholarship students and $y$ the number of fee- paying students.