Homework11. The distribution system for the Herman Company consists of three plants, two ware-houses, and four customers. Plant capacities and shipping costs per unit (in S) from eachplant to each warehouse are as follows:c.PlantWarehouseDemand-25131485Customer demand and shipping costs per unit (in S) from each warehouse to each cus-tomer are as follows:a. Develop a network representation of this problem.b.Formulate a linear programming model of the problem.Solve the linear program to determine the optimal shipping plan.1Warehouse3300624CustomerCapacity4506003803003873004400

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Answered: 11. The distribution system for the…

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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a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000
The method for determining facility location which involves determining x and y co-ordinates of the proposed new location O a. Factor Rating Method O b. Locational Break-even Analysis O C. Transportation Method Od. Centroid Method
A company with a network of 10 pipelines transports mango juice according to the details shown in Table 1. Determine the maximum flow per hour. 1. Table/Jadual 1 Сарacity Node Node (m3/h) 140 100 120 100 120 80 110 100 100 100 Reverse Capacity |(m³/h) 60 20 40 40 40 20 30 40 60 60 Start End Pipeline 1 2 3 4 1 1 1 2 3 4 6 6 7 3 7 7 8 8 10
summanzed below: WAREHOUSE FACTORY F1 9 12 7 18 6 8 13 9 21 20 7 10 11 12 7 F3 14 15 22 Factory output and warehouse supplies that must be maintained are as follows: Eachory Mnits produced/day Warehouse Daily Supply #1 35 1 15 #2 25 2. 12 #3 40 3. 22 24 32 4. 30 5. 20 Determine; a. The best possible factory-to-warehouse shipping program using Vogel's Approximation Method. b. What is the cost of this shipping program?
2. Moonlight Transport company ships truckloads of grain from three warehouses to four distribution centers. The supply (in truck loads), the demand (in truckloads), and the unit transportation costs per truckload on the different routes are summarized in table below. Distribution centres Supply (in truck loads) Warehouses Distribution Distribution Distribution Distribution centre 1 centre 2 centre 3 centre 4 Warehouse 1 $3 $1 $7 $4 300 Warehouse 2 $2 $6 $5 9 400 Warehouse 3 S8 $3 $3 $2 500 Demand (in 250 350 400 200 1200 truck loads)
Sue and Joe are a young married couple who are consideringpurchasing a new home. Th eir search has been reduced to threehomes that they both like, at diff erent locations. Th ey haveidentifi ed the factors they consider important and assigneda factor score to each location based on a 5-point scale. Th einformation is shown in the table. (a) Construct a spreadsheet model to help Sue and Joe maketheir decision. What is your recommendation?(b) Construct a stacked column chart to illustrate thealternatives.
5. Heart Beats is a manufacturer of medical equipment. The company's primary product is a device used to monitor the heart during medical procedures. This device is produced in two factories and shipped to two warehouses. The product is then shipped on demand to four third-party wholesalers. All shipping is done by truck. The product distribution network is shown below. The annual production capacity at Factories 1 and 2 is 400 and 250, respectively. The annual demand at Wholesalers 1, 2, 3, and 4 is 200, 100, 150, and 200, respectively. The cost of shipping one unit in each shipping lane is shown on the arcs. Due to limited truck capacity, at most 250 units can be shipped from Factory 1 to Warehouse 1 each year. [400] F1 [400] F1 [250] F2 [250] F2 $40 [250] [0] WH 1 $25 WH 2 [0] $35 [0] WH 1 WH 2 [0] WS 1 WS 2 WS 3 $60 WS 4 $55 [-200] [-100] [-150] $35 (a) Ignore the arrow of each arc (or in other words, treat this as a undirected network), find the minimum spanning tree, what is the…
2) A company is considering a plan to produce or buy/outsource a certain item used in the production of new type of cars. Making the item would involve annual lease costs of $150,000. Cost and volume estimates are as follows: Make Buy Annual fixed cost $150,000 None Variable cost/unit $60 $80 Annual volume 12,000 12,000 (units) a. Given these numbers, should the firm buy or make this item? b. There is a possibility that volume could change in the future. At what volume would the company be indifferent between making and buying?
Consider the following distribution system: Single product. Two plants, referred to as plant p1 and plant p2. Plant p2 has an annual capacity of 40,000 units. The two plants have the same production costs. • • Two existing warehouses, referred to as warehouse w1 and warehouse w2, have identical warehouse handling costs. • Three markets areas, c1, c2, and c3, with demands of 50,000, 100,000 and 50, 000, respectively, Table 1 provides distribution cost per unit. For instance, distributing one unit from plant p1 to warehouse w2 costs $5. Convert the following diagram into the table. No need for any calculation. Facility warehouse w1 W2 p1 2 3 p2 2 0 c1 3 5 c2 3 2 C3 4 3
1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.
LenQua group is a drinking water factory in Serang. As the business progresses, demand is increasing in Cirebon, Semarang and Surabaya. And the company owner plans to build a factory so that customer needs in the area can be met without have to send from the factory in Serang. Several considerations for decision making can be seen based on the data below: a. How many boxes for the annual sales volume of each area to be able to competecompetitive advantage strategy with competitors?b. What do you suggest to the company based on the above cost data for the building sitethe factory? Explain why and use the computation data to make decisions possibleaccording to the corporate strategy you have learned.
REQUIRED: (a) Draw a network that depicts the company's supply network. Identify the supply nodes, transshipment nodes, and demand nodes in this network. (b) Formulate an optimization model to solve this problem. (Set-up only the objective function and the Constrains do not solve) 1 Question The Audiofile Company produces boomboxes. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the speakers. Their price for each shipment of 1,000 speakers is shown below Vendor 1 2 3 In addition, each vendor would charge a shipping cost. Each shipment would go to one of the company's two warehouses. Each vendor has its own formula for calculating this shipping cost based on the mileage to the warehouse. These formulas and the mileage data are shown below Vendor 1 2 3 Vendor 2 3 Warehouse 1 Price $22,500 $22,700 $22,300 Charge per shipment $300+0.40/m $200+050/mle $500+0.20/mile 1600 miles 500 miles 2,000…

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