6. Consider the following linear programming problem: Maximize f = 3:17 + y subject to :1: + 5y 3 50 212+y528 320,3!20 (a) Sketch the feasible set. For this problem, draw your graph on a full sheet of paper (Le. draw it big). (b) Notice that (4, 6) is in the feasible set; plot it on the graph in part (a). Find the objective value of (4, 6). (c) Find three other points in the feasible set that have the same objective value as (4, 6) and plot them on the graph from part (a). What do you notice about all these points (d) Find another point in the interior feasible set (i.e. not on the boundary) that has a larger objective value than (4, 6). (e) Find three other points in the feasible set with the same objective value as the point you found in part ((1) and plot them on the graph from part (a). What do you notice about these points in relation to each other AND in relation to the points you found in part (c)? (f) Solve the linear programming