Question: Given the following linear programming problem: Min - 2x1 +3X2 Subject to Xy - 3x2 5 4 X1 21 x + x 22 2 Xy,

Given the following linear programming problem:
Given the following linear programming problem: Min - 2x1 +3X2 Subject to Xy - 3x2 5 4 X1 21 x + x 22 2 Xy, X, 20 a) (7pt) Draw the feasible region. b) (7pt) What are the extreme points of the feasible region? Show how you find them. c) (7pt) Solve the problem by vertex enumeration. d) (7pt) Solve the problem graphically by drawing isolines. Show how you find those isolines. e) (6pt) What is the the slack and/or surplus for each constraint at the optimal solution? Important: you are required to show your calculations in every question. Failure to do so may result in grade deductions to the grader's and/or instructor's discretion

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