$7\mathrm{.}6)$ Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions: an unbounded problem, an infeasible problem, or a problem containing redundant constraints.

Solve the following LP using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:

Maximize profit $=4x+4Y$

Subject to: $,3x+5Y150$

$x-2Y10$

$5x+3Y150$

$x,Y0$