Find a starting feasible solution of the following transportation problem using: North West corner Least cost rule Least cost value in the column Penalty Method

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A: answer of given question is in next step

Q: With reference to a transportation problem define the following terms: c) Optimal solution d)…

A: Optimal solution: A feasible solution which optimize ( maximum or minimum) the objective is called a…

Q: 5. Use Lagrange multipliers to determine the dimensions of a rectangular box, open at the top,…

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Q: 6. Solve the transportation problem using (a) Least cost method (b)Vogel's Approximation Method and…

A: Least cost method find the least cost in whole matrix The least cost is 10 . so allocate  minimum…

Q: The method which usually gives a good basic feasible sohution to a transportation problem is •…

A: Transportation problem is the type of linear programming problem. These problems objective is to…

Q: 1. Assign the maximum amount to this cell that is allowable based on the supply and demand…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

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Q: Find the maximum and minimum values of the given objective function on the indicated feasible…

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Q: Find the maximum and/or minimum value(s) of the objective function on the feasible set S. (If an…

A: we have to find all values of z at the vertex

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Q: 7. Consider a three-station line with a throughput target of 50 jobs per 24 hours. Use the facts…

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Q: Garcia Solutions produces two products namely Product X and Y. Based on the analysis of current…

A: This is an lpp problem with 2 variable and 3 constraints. We can solve it by graphical approach.

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A: Let the investment in MHI be x Let the investment in BKK be y Total money to be invested is upto…

Q: 4. The ICARE Company has three plants located throughout a state with production capacity 50, 75 and…

A: The Vogel's approximation method is an iterative procedure to minimize the transportation cost or…

Q: describe the following Feasibility and optimal solution Surplus versus Slack variables Alternative…

A: Solution 1: Feasible solution:  All possible solution, which satisfies the all constraints are…

Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

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A: Let units purchased for policy A = x units Let unity purchased for policy A = y units

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A: Given that the square base of the rectangular container is x feet long and height of the container…

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A: To find: The dimensions for minimum cost and also find the minimum cost. Given information: The…

Q: For the feasible region given in the figure and the objective function z = 36x + 50y, a. Determine…

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Q: following Destination Supply Source 2 3 4 2 3 10 15 21 4 3 Demand 11 17 12 a) Formulate this problem…

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Q: Aragon Company produces two models of men’s shoes. Model A has a unit profit of P40  while Model B…

A: Given that a company produces two models of Shoes, A and B. 1) The given data has been put into the…

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Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given : That an engineering firm recently estimated its total revenue function as TR=300-6q2 and its…

Q: When and Why we use Artificial variables. Why can a surplus variables never be Used as an initial…

A: Here we recall some definitions.

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A: Here we have to minimize the cost     Part (a):   Let x and y are the number of ounces of food X…

Q: Garcia Solutions produces two products namely Product X and Y. Based on the analysis of current…

A: let there are two products X and Y. let the product X made x gallons and product Y made y gallons.…

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A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that    X…

Q: Solve the given LP problem on the right by using The Graphical Solution Method. a) Find the optimal…

A: Let us consider the first constraint as 3x1+2x2=12 in order to draw the first constraint Similarly,…

Q: It has been said each LP problem that has a feasible region has an infinite number of solutions?…

A: In each LPP, since the feasible region is continuous, and if we can consider accepting non-integer…

Q: 4. Which labor and material resources are completely used? 5. What would be the impact on the…

A: Linear programming problem is a special branch of wide range of problems included in…

Q: A balanced transportation problem with 8 sources and 5 demand points has constraints excluding sign…

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Q: A company needs to construct a 500,000 square foot warehouse facility to support its growing…

A: The assigned area for the warehouse is 500,000 square foot thus it means that it cannot be extended.…

Q: An Icelandic horse farmer would like to supply her animals with sufficient vitamins A, B, C and D.…

A: From the given data we can formulate the linear programming problem as follows: Minimize…

Q: Based on the following sensitivity report, what would be the impact of changing the constraint…

A: Resource Allowable decrease Actualdecrease Percentagechange A 20 100 - 77 = 23 23 / 20 = 115% C…

Q: A natural gas line runs east-west. A town wants to connect two new housing developments to the line…

A: Let A and B are the two cities .

Q: Use North West Corner Method to Find initial feasible solution for the following transportation…

A: In the given problem,  Number of supply constraints : 3Number of demand constraints : 3Problem Table…

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Q: B. Indicate how much slack resource is available at the optimal solution point.

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Q: 6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume…

A: Here we have to use Lagrange multiplier method Suppose you want to maximize f(x,y,z) subject to the…

Q: 0, 259 (180, 120) 260, 0) z = 12x + 10y

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Q: Minimize: subject to: z = x-y 4x - 3y ≤0 x + y ≤ 10 x,y ≥ 0

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Q: What is the requirement of initial basic feasible solution in transportation Problem.    Which…

A: Northwest corner rule and VAM methods are the two measurements of transportation cost which is used…

Q: onsider the transportation problem given below.   Destinations   Source 1 2 3 Supplies 1 9…

A: given data source  1 2 3 supplies 1 9 6 4 5 2 4 10 2 6 3 15 7 10 5 demands 9 3 4 16 a)…

Q: To I II III IV Capacity A 14 25 45 5 6. From B 65 25 35 55 C C 35 3 65 15 16 Demand 7 7 6 13

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Q: A businessman is considering opening a small specialized trucking firm. To make the firm profitable,…

A: We will use basic concept of LPP here

Q: السؤال 6 Which of the following method is used to check the optimality of the initial solution of a…

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