please show work!

if you cant do all four please just do the last 2 but all 4 would be much apreciated!

thank you!

Solve the following linear programming problems graphically. If no optimal solution exists, then state this. Make sure to identify all the corner points. Maximize Subject to p = 8x + 4y 3x + 12y 36 x + y 54 x, y 20 b. Minimize Subject to c = 5x + 3y 8x + 5y > 40 4x + 10y > 40 x,y 20 Solve the following linear programming problems using the simplex method and its variants. If no optimal solution exists, then state this. Make sure to write down all steps for partial credit. Maximize Subject to p = 5x + 2y 2x + 4y = 15 3x + y = 10 x,y 20 Minimize Subject to c= 3x + y 3x + 2y 26 2x - 3y = 0 3x - 2y > 0 x,y> 0