9.2-6. Consider the transportation problem having the following parameter table: Destination 1 23...
The parameter table given below shows the transportation problem formulation of Option 1 for the Better Products Co. problem presented in Sec. 9.3 of the textbook. As stated in the textbook, the optimal solution for this transportation problem has the following basic variables (allocations): x12 = 30, x13 = 30, x15 = 15, x24 = 15, x25 = 60, x31 = 20, x34 = 25 Verify that this optimal solution actually is optimal by applying just the optimality test portion...
DI 9.2-2. * Consider the transportation problem having the fol- lowing parameter table: Destination 1 2 3 4 5 Supply Source 1 - 2 3 4 2 7 8 0 4 4 6 7 0 4 6 3 5 0 2 5 M 2 0 5 7 4 5 0 5 Demand Use each of the following criteria to obtain an initial BF solution. Compare the values of the objective function for these solutions. (a) Northwest corner rule. (b) Vogel's...
Please help~ thanks!! Problem 6-29 (Algorithmic) The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "O For negative values enter "minus" sign () Flow capacity per hour 6,000vchicles Entering Albany (north) Leaving Albany (south) Max s.t. Flow Out Flow In 1 x121 x13 -1 | X x14 1 x25 Node 2 0 1 X X13+ 1 X...
(Transportation problem): Consider the transportation model in the table below. a) Use the northwest-corner method to find a starting solution. b) Develop the iterations that lead to the optimal solution. $1 19 $8 6 $6 19 5
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
Consider the following network representation of a transportation problem: The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply Jefferson City 20 0 10 30 Omaha 5 15 0 20 Demand 25 15 10 Total Cost: $540. Find an alternative optimal solution for the above problem. If your answer is zero, enter “0”. Des Moines Kansas City St.Louis Jefferson City ____ ______...
eBook Consider the following network representation of a transportation problem: Des Moines 25 14 30 Jefferson City 16 > Kansas City 15 10 20 Omaha $ St Louis 10 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply 20 0 10 30 Jefferson City Omaha Demand 5 15 0 20 25 15 10 Total Cost: $540 Find an alternative...
Consider the following network representation of a transportation problem: Des Moines 25 30 Jefferson City Kansas City 115 20 Omaha St. Louis 10 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply Jefferson City 20 10 30 Omaha 5 15 Demand | 25 15 10 Total Cost: $540. Find an alternative optimal solution for the above problem. If your...
These are the choices for "Shortest Route" Please explain on an excel spreadsheet Problem 6-23 (Algorithmic) Find the shortest route from node 1 to node 7 in the network shown. If the constant is '1" it must be entered in the box. If your answer is zero enter "O". For negative values enter "minus" sign ( 12 1 if the arc from node i to node j is on the shortest route Let X12+ X32 t x56 x13 + x35...
[4.37] Consider the following problem: Maximize 2x + 3x2 subject to X1 + 2x2 5 10 -*1 + 2x2 s 6 *1 + *2 S6 12 0. a. c. X1, Solve the problem graphically and verify that the optimal point is a degenerate basic feasible solution. b. Solve the problem by the simplex method. From Part (a), identify the constraint that causes degeneracy and resolve the problem after deleting this constraint. Note that degeneracy disappears and the same optimal solution...