Determine an initial basic feasible solution to the given transportation problems using North-West Corner method : To II III Сараcity 12 A 19 16 14 From B 22 13 19 16 C 14 28 8. 12 Demand 10. 15 17
Q: 1. Obtain the initial basic feasible solution to the following transportation problem using north…
A: We have the initial table as, We have Total supply = 14 + 16 + 5 = 35 and Total demand = 6 + 10 +…
Q: 3. Solve the following transportation problem using the following table. Obtain an Initial BFS to…
A: Given transportation problem is : D1 D2 D3 D4 Supply S1 20 22 17 4 120 S2 24 37 9 7 70…
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Q: 3. Given any basic feasible solution to a LPP (where the objective is to minimize the objective…
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Q: 2. Find the Initial basic feasible solution by applying all three methods (North west corner method,…
A: Total number of supply constraints : 3Total number of demand constraints : 3 Problem Table is
Q: 6. Maximize 10x +35y subject to 8x + 6y < 48 (board-feet of lumber) 4x+y 20 (hours of carpentry) y 2…
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Q: IV. Solve the given transportation problem by using the following method below. To From H Supply PI…
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Q: 2. a. Find the starting solution of this transportation method by North-West Method. (Unit…
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Q: sider the transportation problem presented in the following table: D1 D2 D3 D4 SUPPLY S1 19 30 50…
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Q: 1. Obtain the initial basic feasible solution to the following transportation problem using north…
A: We have the initial table as, We have Total supply = 14 + 16 + 5 = 35 and Total demand = 6 + 10 +…
Q: Find the starting solution of this transportation model by Least Cost Method. (Unit transportation…
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A: Image is attached with detailed explanation.
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…
Q: 2. Obtain the initial basic feasible solution to the following transportation problem using north-…
A: Given table with Demand and supply is as follows Given transportation problem is balanced so apply…
Q: 1) a)Integrate the following: 6x2 ( 12x3 + 157 )0.8 within the range 2 and 7.
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A: (a) First find primal to dual of LPP : Primal is (Solution steps of Primal by BigM method) MIN Zx…
Q: 2. Obtain the initial basic feasible solution to the following transportation problem using north-…
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Q: c. Find the initial feasible solution using. VAM method. TO From B D Supply 3. 4 300 II 9. 400 III…
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Q: Determine an initial basic feasible solution to the following transportation problem by using (a)…
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Q: What is the requirement of initial basic feasible solution in transportation Problem. Which…
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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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- What is the requirement of initial basic feasible solution in transportationProblem.What is the requirement of initial basic feasible solution in transportation Problem. Which method is most suitable for solving Transportations problem? Find the initial feasible solution using. (i) NWCR method (ii) VAM method Also compare both results. TO From A B C D Supply I 12 4 9 5 55 II 8 1 6 6 45 III 1 12 4 7 30 Demand 40 20 40 20To minimize costs on the production line, an industrial engineer at a fiber-optic manufacturing firm is considering two robots. Robot X would have a $82,000 first cost, a $30,000 annual maintenance and operation (M&O) cost, and $50,000, $42,000, and $35,000 salvage prices after 1, 2, and 3 years, respectively. Robot Y will have a first cost of $97,000, a yearly M&O cost of $27,000, and after 1, 2, and 3 years, respectively, salvage prices of $60,000, $51,000, and $42,000. If a 2-year study period is specified at an interest rate of 15 percent per year and replacement after 1 year is not an option, what robot should be selected?
- Use the least optimal initial basic feasible solution from (a) as your starting point to find the optimal solution.A hunger-relief organization has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.25 million (inclusive), and Country B is to receive at least $1 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.40, whereas a dollar spent in Country B will yield an effective return of $0.80. How should the aid be allocated if the money, in millions, is to be utilized most effectively according to these criteria? Hint: If x and y denote the amount of money, in millions of dollars, to be given to Country A and Country B, respectively, then the objective function to be maximized is P = 0.4x + 0.8y.A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost.
- A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost. _____Pears _____iNacsFind the general solution using linear coeffecientsFind the feasible solution of the given problem using two methods: Least Cost Method Vogiel's Method/Penalty Method
- The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. a) From Contractor I's proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. From Contractor 1’s proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…An advertising firm desires to reach two types of audiences-customers with annual income of more than K40,000 (target audience A) and customers with annual income of less than K40,000 (target audience B). The total advertising budget is K200, 000 . One programme of TV advertising costs K50, 000 while one programme of radio advertising cost K20, 000. Contract conditions ordinarily require that there should be at least 3 programmes on TV and not more than 5 on radio. Survey indicates that one TV programme reaches 750,000 customers in target audience A and 150,000 in target audience B. One radio programme reaches 400,000 customers in target audience A and 260,000 in target audience B. Formulate a linear programming model for this problem Use the simplex method to determine the media mix to maximize the number of customers reached.