Please, solve it on paper. Thanks

Exercise 7.1 - Simplex Algorithm: Maximization Consider the following maximization problem: maxZ=4X+6YsubjecttoX+Y11X+Y272X+5Y90X,Y0 1. Find the maximum value Z. 2. At what values of A and B does the maximum occur? 3. State the basis variables in the maximum. 4. Draw on paper the linear constraints, mark the feasible region and indicate all basic feasible solutions (BFS) as well as the basis variables for each BFS. Exercise 7.2 - Simplex Algorithm: Minimization Consider the following minimization problem: minsubjecttoZ=3A+2B2A+B6A+B4A,B0 1. Find the minimum value Z. 2. At what values of A and B does the minimum occur? 3. State the basis variables in the minimum. 4. Draw on paper the linear constraints, mark the feasible region and indicate all basic feasible solutions (BFS) as well as the basis variables for each BFS