1. A marble producer has 3 marble quarries that send marbles to warehouses in four regions. The exact amount of marble to be transported from each quarry this week is as follows: Amount of Marble to be Quarries Transported (tonnes) 1 200 100 3 150 Transportation costs per ton from each quarry to warehouse in each region are shown in the table below. Transportation Costs per tonnes (thousand TL) Quarries Warehouse 1 Warehouse 2 Warehouse 3 Warehouse 4 1 1 6 3 2 3 4 3 4 2 The marble need of each warehouse for the next week is shown in the table below. Warehouse 1 80 tonnes Warehouse 2 Warehouse 3 Warehouse 4 90 tonnes 100 tonnes 70 tonnes The marble producer wants to determine how much marble should be sent from which quarry to which warehouse next week to minimize the total transportation cost. Formulate a linear programming model required to solve this transportation problem 52

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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1. A marble producer has 3 marble quarries that send marbles to warehouses in four regions. The exact
amount of marble to be transported from each quarry this week is as follows:
Amount of Marble to be
Quarries
Transported (tonnes)
1
200
2
100
3
150
Transportation costs per ton from each quarry to warehouse in each region are shown in the table
below.
Transportation Costs per tonnes
(thousand TL)
Quarries
Warehouse 1
Warehouse 2
Warehouse 3
Warehouse 4
1
6
3
2
3
4
3
4
2
2
The marble need of each warehouse for the next week is shown in the table below.
Warehouse 1
80 tonnes
Warehouse 2
Warehouse 3
Warehouse 4
90 tonnes
100 tonnes
70 tonnes
The marble producer wants to determine how much marble should be sent from which quarry to
which warehouse next week to minimize the total transportation cost. Formulate a linear
programming model required to solve this transportation problem
Transcribed Image Text:1. A marble producer has 3 marble quarries that send marbles to warehouses in four regions. The exact amount of marble to be transported from each quarry this week is as follows: Amount of Marble to be Quarries Transported (tonnes) 1 200 2 100 3 150 Transportation costs per ton from each quarry to warehouse in each region are shown in the table below. Transportation Costs per tonnes (thousand TL) Quarries Warehouse 1 Warehouse 2 Warehouse 3 Warehouse 4 1 6 3 2 3 4 3 4 2 2 The marble need of each warehouse for the next week is shown in the table below. Warehouse 1 80 tonnes Warehouse 2 Warehouse 3 Warehouse 4 90 tonnes 100 tonnes 70 tonnes The marble producer wants to determine how much marble should be sent from which quarry to which warehouse next week to minimize the total transportation cost. Formulate a linear programming model required to solve this transportation problem
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