3 A product is produced at three plants and shipped to three warehouses (the transportationcosts per unit are shown in the following table).WarehousePlantW,W2W3Plant CapacityP,P2P32016243001010500121810100Warehouse demand200400300a. Show a network representation of the problem.b. Develop a linear programming model for minimizing transportation costs; solve thismodel to determine the minimum cost solution.c. Suppose that the entries in the table represent profit per unit produced at plant i andsold to warehouse j. How does the model change from that in part (b)?

Answered: 3 A product is produced at three plants…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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3. A product is manufactured by four factories A, B, C and D. The unit production costs in them are ETB 2, ETB 3, ETB 1 and ETB 5 respectively. Their production capacities are 50, 70, 30 and 50 units respectively. These factories supply the product to four stories, demands of which are 25, 35, 105, and 20 units respectively. Unit transportation cost in ETB for each factory to each store is given in the table below. Stores 1 3 4 A 2 4 6. 11 Factories В 10 8. C 13 3 9 12 D 4 8 Determine the transportation plan to minimize the total production-cum-transportation cost by using: a. Vogel's Approximation Method (VAM) for initial basic feasible solution b. Find the optimal solution using Modified Distribution Method (MODI) method.
The City of Boston is taking bids on four construction projects. Four companies have made the bids as shown in the following table: Company 1 2 3 4 Bids Project 1 Project 2 Project 3 Project 4 $4000 $5000 $4000 - $3000 $2000 $4000 $4000 $5000 a. Each bidder can be assigned only I route. Use the assignment method (Hungarian Method) to minimize the cost of assigning the four project contracts.
Please refer to the attached file:
A renowned chocolatier, Francesco Schroeder, makes three kinds of chocolate confectionery: artisanal truffles, handcrafted chocolate nuggets, and premium gourmet chocolate bars. He uses the highest quality of cacao butter, dairy cream, and honey as the main Ingredients. Francesco makes his chocolates each morning, and they are usually sold out by the early afternoon. For a pound of artisanal truffles, Francesco uses 1 cup of cacao butter, 1 cup of honey, and 1/2 cup of cream. The handcrafted nuggets are milk chocolate and take 1/2 cup of cacao, 2/3 cup of honey, and 2/3 cup of cream for each pound. Each pound of the chocolate bars uses 1 cup of cacao butter, 1/2 cup of honey, and 1/2 cup of cream. One pound of truffles, nuggets, and chocolate bars can be purchased for $35, $25, and $20, respectively. A local store places a daily order of 10 pounds of chocolate nuggets, which means that Francesco needs to make at least 10 pounds of the chocolate nuggets each day. Before sunrise each…
(Problem 1) A manager of Drexel Clothing Company has to make a decision on shipping. There are two shippers, A and B. Both offer a two-day rate: A for $500 and B for $525. In addition, A offers a three-day rate of $450 and a nine-day rate of $325 and B offers a four-day rate of $400 and a seven-day rate for $375. Annual holding costs are 25% of unit price. Four hundred boxes are to be shipped, and each box has a price of $250. The shipping charges are for the entire batch of 400 boxes. Which shipping alternative would you recommend? Explain.
Paragraph D F S A 3 8 600 B 5 7 9 400 C 4 4 4 700 Styles 1- Find initial feasible solution by west-corner rule. 2- Find initial feasible solution by Vogel's Approximation method. 3- Find the minimum transportation cost solution by stepping-stone method. 500 800 400
Please how to find the total cost using the transportation method.
Boysen produces enamel and acrylic paint from two particular raw materials M1 and M2. The following data provides the data regarding the production restrictions.
Consider an assignment issue that has the following cost table. a. Draw a network representation of this assignment problem.b. Formulate this problem as a transport problem by drawing up the appropriate parameter table.c. Determine the optimal assignment solution using the Hungarian method!d. Use Excel Solver to get the optimal solution.
I. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given to the right: Distance Distribution Center 1 2 4 1 800 1300 400 700 2 3 1100 1400 600 1000 600 1200 800 900 The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.
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A manufacturing company has 4 factories and 3 warehouses. The costs for transporting its products from factories to ware houses, the supply capacity of factories and demands in warehouses are given respectively by 6 4 81 70 170 4 3 2 C = 130 S = D= 200 2 4 7 100 130 1 5 8 200 a. Use minimum cost method to find an initial feasible solution. b. Determine the amount of products to be transported from factories to warehouses to minimize the cost.

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