principles of optimal design problem 5.24

5.24 Consider the LP problem min f = -3x1 - 2x2 subject to g1 = 2x1 + 12 - 10 = 0, 82 = X +X2-8 50. 83 = X -4:0, * 20, x2 20. Solve the problem analytically and graphically. Check which of the points X1 = (4,2) , x2 = (2. 6), x, = (4. 0) is a KKT point. Show the relevant gradient vectors at these points graphically and confirm what you found above