5-4 Consider the linear constraints -Yi + y2 = 2 5y = 10 Y, y2 = 0 (a) Sketch the feasible set in a 2-dimensional plot. (b) Add slacks y3 and y4 to place constraints in LP standard form. (c) Determine whether columns of stan- dard form corresponding to each of the following sets of variables form a basis: {y1, y2}, {y2, y3}, {y3, y4},{y1, y4},{y3}, {y1, Y2, y4}. (d) For each set that does form a basis in part (c), determine the corresponding basic solu- tion and classify it as feasible on infeasible. (e) Identify each solution of part (d) on your plot of part (a), and comment on the con- nection between basic feasible solutions and extreme points