Tupperware Brands Corporation has 1200 units of microwaveable bowls in stock at northern factory and southern factory, respectively. The corporation received order of this product from 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: Factory northern (1) Southern (2) and the output is given as follows: I 14 13 Model Variable Value x11 Value x12 Value x13 Value x21 Value x22 Value x23 Retailer II 11 13 Units 0 700 300 1000 0 200 III 13 12 (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 to represent your decision variables.]
Tupperware Brands Corporation has 1200 units of microwaveable bowls in stock at northern factory and southern factory, respectively. The corporation received order of this product from 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: Factory northern (1) Southern (2) and the output is given as follows: I 14 13 Model Variable Value x11 Value x12 Value x13 Value x21 Value x22 Value x23 Retailer II 11 13 Units 0 700 300 1000 0 200 III 13 12 (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 to represent your decision variables.]
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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Question
![Tupperware Brands Corporation has 1200 units of microwaveable bowls in stock at northern
factory and southern factory, respectively. The corporation received order of this product
from 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:
Factory
northern (1)
Southern (2)
and the output is given as follows:
I
14
13
Model Variable
Value x11
Value x12
Value x13
Value x21
Value x22
Value x23
Retailer
II
11
13
Units
0
700
300
1000
0
200
III
13
12
(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 to
represent your decision variables.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3b16398-bd69-44ab-b077-fb6458b18cc2%2F7a696b5b-639b-449d-83f3-8aa00e10f49c%2Fugmba5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tupperware Brands Corporation has 1200 units of microwaveable bowls in stock at northern
factory and southern factory, respectively. The corporation received order of this product
from 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:
Factory
northern (1)
Southern (2)
and the output is given as follows:
I
14
13
Model Variable
Value x11
Value x12
Value x13
Value x21
Value x22
Value x23
Retailer
II
11
13
Units
0
700
300
1000
0
200
III
13
12
(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 to
represent your decision variables.]
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