8. EXTRA CREDIT (15 points] Solve the ILP problem below using the branch-and- bound method with...
Solve the following standard LP problem using branch and bound technique: Maximize Z = 10x, + 30x2 + 20x3 + 20x4 + 10x5 subject to the constraints: 8x, +12x2 +x3 + 8x, +2x, s15 9x, +7x2 +4x3 +10x4 +5x, S 20 x,+x2+ 8x3 +3x4 + 7x, 311 2. x, = 0or1 Maximize Z = 10x, + 30x2 + 20x3 + 20x4 + 10x5 subject to the constraints: 8x, +12x2 +x3 + 8x, +2x, s15 9x, +7x2 +4x3 +10x4 +5x, S...
Will rate. Must show all work (30 points. Use the MIP branch-and-bound algorithm to solve the following problem interactively. Use the graphical method to solver for each LP relaxation problem. Minimize Z = -x - y subject to 5x + 2y = 60 3x + 4y = 45 and X1 2 0,x2 > 0 integers. Show the graph for each LP relaxation problem.
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first search with branch and bound 3) Best fit search with branch bound. Find out maxprofit and solution vector X=(x1,x2,x3,x4,x5). You need to show how you solve it using pruned state space tree. plw $20* $30» $35.» $12* $3. pi/wi- 10» 60 5» 4° 30 2» 5* 2» 30 4° 30 W=12(Knapsack capacity)-