!Required informationThe Childfair Company has three plants producing childpush chairs that are to be shipped to four distributioncenters. Plants 1, 2, and 3 produce 12, 17, and 11 shipmentsper month, respec- tively. Each distribution center needs toreceive 10 shipments per month. The distance from eachplant to the respective distributing centers is given below:DistancePlant123111501450950Distribution Center.2316507501750950155011504105013501250The freight cost for each shipment is $100 plus 50 centsper mile.Obtain an optimal solution, and determine the total cost.Total Cost = $ 27300

A transportation problem would be a linear programming challenge that includes choosing the best…

Answered: The Childfair Company has 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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Consider the transportation table below. REQUIRED:(a) Use the Northwest-Corner Method, the Least-Cost Method and the VAM to get the starting feasible solution.(b) Find the optimal solution by considering the smallest value of the objective function computed in (a).
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Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram is given in the figure below shows the possible routes and distances from the carpet plant in Valparaiso to the various warehouses or retail outlets. 12 11 13 Hi 6 15 20 10 M На
Davis Inc. produces three product lines in its manufacturing facility in St. John's, NL: Product Line (1), Product Line (2), Product Line (3). Davis is considering dropping Product Line (2) because it has been unprofitable for the past two years. Which of the following items is (are) irrelevant to Davis' decision to drop/keep Product Line (2)? O a) Total cost of rent on the manufacturing facility. O b) Customer demand for Product Line (2). Oc) Savings in direct materials cost associated with Product Line (2). O d) All of the above items are considered relevant in the decision.
(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method). B C 6 12 15 10 11 7 16 9 Truck / Route 1 2 3 4 Step la: Row subtraction (show your steps, e.g., see cell 1A) Truck / Route B 1 2 3 4 A 10 11 9 14 Step 1b: Column subtraction. Truck / Route 1 2 3 4 A 10-6=4 = = = = = B = с = C Step 2: Testing for optimal solution (show your lines covering the zero entries). What is the minimum number of lines required to cover all zeros? D 8 14 10 13 D = = D =
East Texas Seasonings began as a small business in Athens Texas. Over the years, the company's success has exceeded the capacity of this one location so Mr. Sass, the owner opened 3 additional branches. Each of these branches house a unique source of the company's secret blend. In an attempt to increase efficiency, the company is preparing to build one processing center to serve its four sources of seasonings. The 4 source locations are at the coordinates shown below. Also, the volume from each source is provided. X-coordinateY-coordinate Volume Athens, Texas 30 40 100 Beaumont, Texas 20 15 400 Carthage, Texas 55 60 150 Denton, Texas 20 70 250 b. Calculate the volume-weighted center of gravity.
Sean Willems has evaluated the vendors in Table S11.3 as well as F ricker V-Tech, the vendor in Problem( Referring to Problem S 11.1 2, Sean Willems, in additionto the two possible vendors evaluated in Table S11.3,has found a third possible vendor. He now wants to evaluate all three vendors using the weights in Table S 11 .3. He scores the third vendor, Fricker V-Tech, Ltd., as: Engineering Competence5, Process Capabili ty 5, Cost I, Quality 5, Performance to Schedule 4, and After-Sales Service I . Which vendor has the highest score? ),but the Quality Control Manager says that new da ta suggest thatSiemsen Systems, Inc.'s quality has deteriorated, a nd Siemsen should now score a 2 in the Quality category. Which of the three vendors now has the highest score?
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Required information 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, respec- tively. Each distribution center heeds to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Plant 1 2 3 1 1450 1750 1250 Distribution Center 3 1050 1250 1450 Obtain an optimal solution, and determine the total cost. Total Cost = $ 2 1950 2050 1850 The freight cost for each shipment is $100 plus 50 cents per mile. 4 1350 1650 1550
Cargo Loading. You are in charge of loading cargo ships for International Cargo Company (ICC) at a major East Coast port. You have been asked to prepare a loading plan for an ICC freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship:Commodity Tons Available Volume per Ton (cu.ft.) Profit per Ton ($)1 4,000 40 702 3,000 25 503 2,000 60 604 1,000 50 80You can elect to load any or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Volume Capacity (cu.ft.)Forward 3,000 100,000Center 5,000 150,000Rear 2,000 120,000More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10 percent of the weight in the rear cargo hold, and the center cargo hold…
2
1.10 Adirondack Paper Mills, Inc. operates paper plants in Augusta, Maine, and Tupper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New Hampshire. Distributors are located in Boston, New York, and Philadelphia. The Augusta plant has a capacity of 300 units, and the Tupper Lake plant has a capacity of 100 units. Boston has a demand of 150 units, New York has a demand of 100 units, and Philadelphia has a demand of 150 units. The unit transportation costs (in dollars) for shipments from the two plants to the two warehouses are presented in Table 4 and those from the two warehouses to the three distributors are presented in Table 5. Draw the network representation of the Adirondack Paper Mills problem. Formulate the Adirondack Paper Mills problem as a linear programming problem. Solve the linear program to determine the minimum cost shipping schedule for the problem.

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