2. Consider the transportation problem, determined by the transport cost matriz C, supply vector ...
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...
In-Class Assignment - Transportation Algorithm The table below provides information (names, supply, demand, and cost/unit) for a transportation problem involving three warehouses and three customers. Using the information, set up and show an initial solution using the North West Corner (NWC) method and using a dummy row or column if needed. After that, answer the questions that follow the table. Customer 1 Customer 2 Customer 3 Supply Warehouse 1 10 8 13 800 Warehouse 2 12 15 9 1100 Warehouse...
11) c) Consider the following network diagram of a supply system, where the numbers associated with the arrows represent unit shipping costs (from factories to warehouses). Our goal is to minimize the total shipping cost. Using Vogel's approximation method, find a Basic Feasible Solution to the problem and find the corresponding shipping cost. DEMAND FACTERIES WARENOUSES CAPAEITY 20 5 1-4 15 20 2 13 20 10 3 11) c) Consider the following network diagram of a supply system, where the...
Question 2 (10 marks) A sudden strike in an airline company has left its fleet of 30 jumbo jets in three cities as follows: 8 in city A, 9 in city B, and 13 in city C. An early settlement of the dispute is expected and to start the operations afresh, the aircraft will be required at cities D, E, F, and G as follows: 3 in city D, 9 in city E, 8 in city F, and 10 in...
Consider the following problem Minimize Z3x+2 subject to 3+26 and 20, 20 ()Solve this problem graphically (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (c) Work through the simplex method step by step to solve the problem
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...
The Mecklinburg County is faced with the challenge of designing a transportation program for the students in its three school districts to achieve socio-economic balance in its three schools. The basic requirement is that each and every student must be assigned to a school. It is important to transport these students with minimum cost to the county while ensuring that each school gets a representative mix of poor and non-poor students. The following table contains the transportation cost and mileage...
Problem 5. This problem asks you to find the supply function of a firm that only uses one input (z) to produce one output (q). In addition, it highlights how the choices we make to represent an economic situation can influence the conclusions we arrive at. Suppose there is a firm operating in a competitive environment. The firm has a technology given by f(z)Az, where z 20 is the amount of labor the firm hires at a wage of w...
please step by step Question 2: (20 Marks) A) Explain and discuss with examples the stages of development of Operational research? B) Solve the following linear programming problem graphically: z = 10x+15 Subject to : 3x+6x, 560 Max X: + xy S 16 * 20 C) Discuss and explain the aim and the steps of the ?stepping stone methods of the transportation problems (Question 3: (20 Marks A) Find the starting basic feasible solution for the following Table by using...
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...