Consider the following transportation problem (cost in rupees). Find the initial solution by using Vogel's Approximation method and perform optimality test using MODI Method Factory D E F G Сараcity A 4 6 8 700 B 3 5 2 5 400 3 9 6. 5 600 Requirement 400 450 350 500 1700
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Consider the following transportation problem (cost in rupees). Find the initial solution by using Vogel’s
Approximation method and perform optimality test using MODI Method
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- Consider the following linear program: Max 3A + 3B S.t. 2A + 4B < 12 6A + 4B < 24 A, B > 0 Find the Optimal Solution using the graphical solution procedure If the objective function is changed to 2A + 6B, what will the optimal solution be? How many extreme points are there? What are the values of A and B at each extreme point?TRANSPORTATION METHOD: INSTRUCTIONS: Solve for the optimal distribution and cost of transportation using the given problem below. Show all solution. GIR Company received a contract to supply unleaded gasolne to four different locations Project A needs 60,000 iters, Project Bneeds 90,000 liters, Project Oneeds 20,000 liters, and Product D needs 30,000 liters. The company has two depot located in two different places, Depot 1 har 220.000 liters available and Depot 2 has 80,000 sters wal sole. Cost to Transport Project Project B Project C Proxecto 5 7 13 Depot 1 Depot 2 8 6 B B SIMPLEX METHOD: Instruction Detamine the optimal solution Mimiz 50XL -20 X2 Subject to X1 420 X1 X2 2483. Two poultry farms supply companies with chicken feeds. The unit costs of shipping from the farms to the companies are given in the table below. The farm's goal is to minimize the cost of meeting customers' demands. a) Generate a mathematical model for finding the least cost way of shipping chicken feeds from the farms to the companies.(b) if the demand of company number 2 increased by 3 units. By how much would the costs increase? Show your solution. (c). Solve the total cost using the solver add-in in excel. From Company 1 Company 2 Company 3 Supply Farm A 55 65 80 35 Farm B 10 15 25 50 Demand 10 10 10
- Consider the following linear programming problem: Min Z = 50x1 + 60x2 s.t. 6x1 + 5x2 >= 30 8x1+4x2 >= 32 x1,x2 >=0. What is the Z in the optimal point of this problem? a. 200 b. 250 c. 300 d. 350 e. none of the abovConsider the transportation table below. REQUIREDa. Define the decision variablesb. Write a linear programming model for this problem.c. Use the Northwest-Corner Method, the Least-Cost Method and the VAM to getthe starting feasible solution.d. Find the optimal solution using the transportation algorithm discussed in class by considering the least optimal of the objective function computed in (c).e. Formulate a network model to illustrate the optimal solutionGeneral Ford produces cars at L.A. and Detroit and hasa warehouse in Atlanta; the company supplies cars tocustomers in Houston and Tampa. The cost of shipping a carbetween points is given in Table 60 (“—” means that ashipment is not allowed). L.A. can produce as many as1,100 cars, and Detroit can produce as many as 2,900 cars.Houston must receive 2,400 cars, and Tampa must receive1,500 cars.a Formulate a balanced transportation problem thatcan be used to minimize the shipping costs incurred inmeeting demands at Houston and Tampa.b Modify the answer to part (a) if shipments betweenL.A. and Detroit are not allowed.c Modify the answer to part (a) if shipments betweenHouston and Tampa are allowed at a cost of $5.
- Instructions: Solve using Excel Solver. Create the linear programming model and get the optimal solution to the problem. (Follow the steps and format in the photo below) 1. A company manufactures two products X1 and X2 on three machines A, B, and C. X1 requires 1 hour on machine A and 1hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix.Company aims to determine the optimal number of products to be produced in order to maximize the total profit. a) Formulate the problem using algebraic method. b) Solve the model using the graphical method (indicate optimal solution and profit). C) again). Use graphical method to determine the shadow price for each of these resources (based on the definition of shadow price and by increasing each resource by one unit and solving the problem d) Use the Excel solver to do parts b and c. e) follow: Using Solver Table generate the optimal solution and the total profit for each resource as e1: Consider unit profit for product 1 (use range from 0 to 4 and increment of 1) e2: Consider unit profit for product 2 (use range from 0 to 4 and increment of 1) е3: Consider simultaneous changes for both unit profits in part e1 and e2 using given ranges. e4: Consider available resource of Raw material 1 (use range from 2 to 14 and increment of 1) e5: Consider available resource of Raw material 2 (use…The optimal solution to the original Grand Prix problem indicates that with a unit shipping cost of $132, the route from plant 3 to region 2 is evidently too expensive—no autos are shipped along this route. Use SolverTable to see how much this unit shipping cost would have to be reduced before some autos would be shipped along this route.
- Consider the following transportation problem: Destination company A B C Supply 1 5 1 7 10 2 6 4 6 80 3 3 2 5 15 Demand 75 20 50 Since there is not enough supply, some of the demands at these destinations may not be satisfied. Suppose these are penalty costs for every unsatisfied demand unit which are given by 5, 3, and 2 for destination A, B, and C respectively. 1. Determine how many units and from which source needs to be shipped using the following methods: A) NWCB) LCMC) VAM2. Find the minimum distribution costA manufacturer produces two types of calculator; each requiring material and labour as shown below: Input Scientific Calculator Graphic Calculator Availability Labour (hrs) 4 5 200 Inspection time 2 1 80 Material (cm2) 10 12 600 PROFIT $200 $300 Write the objective function and he constraints Diagram the constraint and identify the feasible region Using the corner point method, identify the production level that meets the objective of maximum profitExplain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.