Tupperware Brands Corporation has 1200 units of microwaveable bowls in stock at northernfactory and southern factory, respectively. The corporation received order of this productfrom three different retailers I, II and III in quantities of 1000, 700 and 500 units, respectively.The unit shipping costs (in rupees per unit) from the factories to the retailers are as follows:Factorynorthern (1)Southern (2)and the output is given as follows:I1413Model VariableValue x11Value x12Value x13Value x21Value x22Value x23RetailerII1113Units070030010000200III1312(a) Draw a network model to illustrate the above problem.(b) Formulate a linear programming model for the problem.[NOTE: Please use x, where i=1,2,..., n -Factory and j=1,2,...,m -Retailer torepresent your decision variables.]

Answered: Tupperware Brands Corporation has 1200…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 34P

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We have three Suppliers and four Demanders. the Suppliers have inventory of 61 , 49, 29 respectively, and the Demanders require 54, 37, 4, 44 respectively. Shipping costs from S1 to D1, D2, D3 , D4 are 103, 30, 68, 54from S2 to D1, D2, D3 , D4 are 16, 95, 84, 35from S3 to D1, D2, D3 , D4 are 40, 44, 46, 101. Check that this is a balanced transportation problem. Find the optimal mimimal shipping cost:
A company has factories at F1, F2 and F3 which supply to warehouses at W1, W2 and W3. Weekly factory capacities are 200, 160 and 90 units, respectively. Weekly warehouse requiremnet are 180, 120 and 150 units, respectively. Unit shipping costs (in rupess) are as follows: W1 W2 W3 Supply F1 16 20 12 200 F2 14 8 18 160 F3 26 24 16 90 Demand 180 120 150 450 Determine the optimal distribution for this company to minimize total shipping cost.
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Solve the following problem: The Krampf Lines railway company specializes in coal handling. On Saturday, Krampf had empty cars at the following towns in the quantities indicated: Town Supply of cars Morgantown 35 Youngstown 60 Pitsburg 25 By Monday, the following towns will need cars as follows: Town Demand for cars Coal Valley 30 Coal town 45 Coal junction 25 Coalsburg 20 The result is shown in the table below. To From Coal Valley Coal town Coal junction Coalsburg Morgantown 50 30 60 70 Youngstown 20 80 10 90 Pitsburg 100 40 80 30 Required: Minimize total miles over which cars are moved to new locations regarding the following: Formulate as a linear programming. Use North-West corner method to obtain the total shipment cost of coal cars.
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9-7 The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back the production capacities at its other two factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse. Find the least-cost way to meet the requirements given the capacity at each factory.
TRANSPORTATION METHOD: INSTRUCTIONS: Solve for the optimal distribution and cost of transportation using the given problem below. Show all solution. GIR Company received a contract to supply unleaded gasolne to four different locations Project A needs 60,000 iters, Project Bneeds 90,000 liters, Project Oneeds 20,000 liters, and Product D needs 30,000 liters. The company has two depot located in two different places, Depot 1 har 220.000 liters available and Depot 2 has 80,000 sters wal sole. Cost to Transport Project Project B Project C Proxecto 5 7 13 Depot 1 Depot 2 8 6 B B SIMPLEX METHOD: Instruction Detamine the optimal solution Mimiz 50XL -20 X2 Subject to X1 420 X1 X2 248

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