8. Consider the constraint set in R2 given by x21x1+2x232x1x22x10,x20. (a) Illustrate the constraint set in a plot of R2. (b) Convert the constraint set into standard form. (c) Based on (a) and (b), find the extreme points of the collection of feasible solutions. Note: A feasible solution is defined for a constraint set of standard form. You may find Problem 6 useful. (d) Suppose we intend to minimize 6x1x2 subject to the constraint set specified above. Find the optimal value and the optimal solution (x1,x2). Justify your calculation clearly