Please show all work by hand and don't use excel for calculations. Please include graph. Please and thank you!

3.5. Solve the following linear program using the graphical method. Compute the value of the objective function and decision variables at optimality, and indicate which state- ment best describes the solution: Minimize Z 4.x1 + 6x2 (a) this linear program has a unique optimal solution Subject to: x Z -4 (b) this linear program has alternate optima 3x1 2x2 5 6 (c) this linear program is infeasible x1 + x2 25 (d) this linear program is unbounded x1 + x2 = 10 x 1 - X? X2 56 X1, X2 > 0