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11) c) Consider the following network diagram of a supply system, where the numbers associated with...
a) All steel manufactured by Steelco must meet the following requirements: 3.2-3.5% carbon ; 1.8-2.5 %...
a) All steel manufactured by Steelco must meet the following requirements: 3.2-3.5% carbon ; 1.8-2.5 % silicon; and 0.9-1.2 % nickel; and tensile strength of at least 45,000 per square inch (psi). Steelco manufactures steel by combining two alloys.. The cost and properties of each alloy are given in the following Table. Alloy 2 $200 2.5 Alloy 1 $190 Cost per ton Percent silicon Percent nickel Percent carbon Tensile strength (psi) 2 1.5 1 42,000 50,000 Assume that the tensile...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; pl...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
operations research Q1: The magical wand is an essential object for the wizarding school. The parameter...
operations research
Q1: The magical wand is an essential object for the wizarding school. The parameter table below shows the supply and demand of magical wand, and the cost to ship a magical wand from each supplier to each wizarding academy. Durmstrang Hogwarts School of Witchcraft and Wizardry 2 Beauxbatons Academy of Magic 5 Institute 3 20 2 3 4 30 Fluorish and Blotts Gambol and Japes Dervish and Banges Zonko's Joke Shop 4 5 30 3 5 20 35...
2. Consider the transportation problem, determined by the transport cost matriz C, supply vector ...
2. Consider the transportation problem, determined by the transport cost matriz C, supply vector s, and demand vector d, given by 12 12 18 20 20 (a) (1 point) Set up the initial transportation tableau using the minimal cost method (b) (2 points) Find the incoming variable variable and the departing variable (c) (2 points) Adjust the initial transportation tableau to provide an improved basic feasible solution (also record the change in z)
2. Consider the transportation problem, determined by...
13. A tin box company has four factories that supply to 5 warehouses. The variable cost...
13. A tin box company has four factories that supply to 5 warehouses. The variable cost of manufacturing and shipment of one ton of product from each factory to each warehouse are shown in the matrix given below, Factory capacities and warehouse requirements are shown in the margin. After several iterations the solution obtained is also shown. Warehouses (Cost in Rs. per unit) A A B C D E Factories DMY Capacity 179 14 0 75 14 25 11 15...
#16.2 Consider the following standard form LP problem: minimize 2xi -x2-^3 subject to 3x1+x2+エ4-4 a. Write down the A,...
#16.2 Consider the following standard form LP problem: minimize 2xi -x2-^3 subject to 3x1+x2+エ4-4 a. Write down the A, b, and c matrices/vectors for the problem. b. Consider the basis consisting of the third and fourth columns of A, or- dered according to [a4, as]. Compute the canonical tableau correspond ing to this basis c. Write down the basic feasible solution corresponding to the basis above, and its objective function value. d. Write down the values of the reduced cost...
Q3. Suppose that you are required to plan the least-cost transportation from the manufacturing centers to the outlets. The transportation cost matrix is given below. Destination 1 Destination 2...
Q3. Suppose that you are required to plan the least-cost transportation from the manufacturing centers to the outlets. The transportation cost matrix is given below. Destination 1 Destination 2 Destination 3 Supply Origin 1 20 17 4 120 Origin 2 35 10 5 60 Demand 40 30 110 180 a. Find the initial basic feasible solution using Vogel’s Approximation Method. (5 Marks) b. Find the final (optimal) solution using Modified Distribution method. (5 Marks) Pls write answer step-by-step with conclusion...
BADM 3963 Transportation & Assignment models homework Write the formulations for #1, 2, 3 in a Wo...
BADM 3963 Transportation & Assignment models homework Write the formulations for #1, 2, 3 in a Word document NOTE: for decision variables, you may type them as X11, X12, X13 etc without subscripting format. Solve the transportation problems #4, 5 on the tables in the same Word document- show work on the table as well as reporting the solution and cost. Submit Word file in BB Assignment Due 4/25, 9pm 1. Consider a small company with three sources of supply:...
TechWidget Incorporated maintains three warehouses located across the United States in order to service to four...
TechWidget Incorporated maintains three warehouses located across the United States in order to service to four customers. Warehouse has a supply of 35 units, warehouse 2 has a supply of 50 units, and warehouse 3 has a supply of 40 units. Customer 1 has a demand of 45 units, customer 2 has a demand of 20 units, customer 3 has a demand of 30 units, and customer 4 has a demand of 30 units. Provided below is a balance transportation...
Consider the following network representation of a transportation problem: The supplies, demands, and transportation costs per...
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
____
______...
a) All steel manufactured by Steelco must meet the following requirements: 3.2-3.5% carbon ; 1.8-2.5 % silicon; and 0.9-1.2 % nickel; and tensile strength of at least 45,000 per square inch (psi). Steelco manufactures steel by combining two alloys.. The cost and properties of each alloy are given in the following Table. Alloy 2 $200 2.5 Alloy 1 $190 Cost per ton Percent silicon Percent nickel Percent carbon Tensile strength (psi) 2 1.5 1 42,000 50,000 Assume that the tensile...
4. CIP has three electric power plants that supply the power needs of four cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1, 35 million; plant 2, 50 million; plant 3, 40 million. The peak power demands in these cities, which occur at the same time (2:00 P.M.), are as follows (in kwh): city A, 20 million; city B, 20 million; city C, 30 million; city D, 30 million. The costs of sending...
operations research
Q1: The magical wand is an essential object for the wizarding school. The parameter table below shows the supply and demand of magical wand, and the cost to ship a magical wand from each supplier to each wizarding academy. Durmstrang Hogwarts School of Witchcraft and Wizardry 2 Beauxbatons Academy of Magic 5 Institute 3 20 2 3 4 30 Fluorish and Blotts Gambol and Japes Dervish and Banges Zonko's Joke Shop 4 5 30 3 5 20 35...
2. Consider the transportation problem, determined by the transport cost matriz C, supply vector s, and demand vector d, given by 12 12 18 20 20 (a) (1 point) Set up the initial transportation tableau using the minimal cost method (b) (2 points) Find the incoming variable variable and the departing variable (c) (2 points) Adjust the initial transportation tableau to provide an improved basic feasible solution (also record the change in z)
2. Consider the transportation problem, determined by...
13. A tin box company has four factories that supply to 5 warehouses. The variable cost of manufacturing and shipment of one ton of product from each factory to each warehouse are shown in the matrix given below, Factory capacities and warehouse requirements are shown in the margin. After several iterations the solution obtained is also shown. Warehouses (Cost in Rs. per unit) A A B C D E Factories DMY Capacity 179 14 0 75 14 25 11 15...
#16.2 Consider the following standard form LP problem: minimize 2xi -x2-^3 subject to 3x1+x2+エ4-4 a. Write down the A, b, and c matrices/vectors for the problem. b. Consider the basis consisting of the third and fourth columns of A, or- dered according to [a4, as]. Compute the canonical tableau correspond ing to this basis c. Write down the basic feasible solution corresponding to the basis above, and its objective function value. d. Write down the values of the reduced cost...
BADM 3963 Transportation & Assignment models homework Write the formulations for #1, 2, 3 in a Word document NOTE: for decision variables, you may type them as X11, X12, X13 etc without subscripting format. Solve the transportation problems #4, 5 on the tables in the same Word document- show work on the table as well as reporting the solution and cost. Submit Word file in BB Assignment Due 4/25, 9pm 1. Consider a small company with three sources of supply:...
TechWidget Incorporated maintains three warehouses located across the United States in order to service to four customers. Warehouse has a supply of 35 units, warehouse 2 has a supply of 50 units, and warehouse 3 has a supply of 40 units. Customer 1 has a demand of 45 units, customer 2 has a demand of 20 units, customer 3 has a demand of 30 units, and customer 4 has a demand of 30 units. Provided below is a balance transportation...
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
____
______...
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