Question 4. • Formulate this problem as a LP in which the objective is to minimize the total cost? • What is the name of this problem? Three suppliers (S₁, S₂, S3) are used to provide four customers (T₁, T₂, T3, T4) with their requirements for a particular commodity over a year. The yearly capac- ities of the suppliers and requirements of the customers are given below (in suitable units) Suppliers Capacities (per year) Customers Requirements (per year) S₁ Table 5.3 Supplier S₁ 135 The unit costs for supplying each customer from each supplier are given in Table 5.3 (in pounds per unit). T₁ 132 85 106 S₂ S₂ 56 93 T₁ T₂ T₁ T4 62 83 39 91 Customer T₂ _a 91 89 T3 97 T4 103 100 98 "A dash indicates the impossibility of certain suppliers for cer- tain depots or customers.

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 4.
Formulate this problem as a LP in which the
objective is to minimize the total cost?
What is the name of this problem?
Three suppliers (S₁, S₂, S3) are used to provide four customers (T₁, T2, T3, T4)
with their requirements for a particular commodity over a year. The yearly capac-
ities of the suppliers and requirements of the customers are given below (in
suitable units)
Suppliers
Capacities (per year)
Customers
Requirements (per year)
S₁
Table 5.3
Supplier
S₁
135 56
The unit costs for supplying each customer from each supplier are given in
Table 5.3 (in pounds per unit).
T₁
132
85
106
S₂ S₁
93
T₁ T₂
T₁ T4
62 83 39 91
T₂
_a
91
89
Customer
T3
97
100
T4
103
98
"A dash indicates the impossibility of certain suppliers for cer-
tain depots or customers.
Transcribed Image Text:Question 4. Formulate this problem as a LP in which the objective is to minimize the total cost? What is the name of this problem? Three suppliers (S₁, S₂, S3) are used to provide four customers (T₁, T2, T3, T4) with their requirements for a particular commodity over a year. The yearly capac- ities of the suppliers and requirements of the customers are given below (in suitable units) Suppliers Capacities (per year) Customers Requirements (per year) S₁ Table 5.3 Supplier S₁ 135 56 The unit costs for supplying each customer from each supplier are given in Table 5.3 (in pounds per unit). T₁ 132 85 106 S₂ S₁ 93 T₁ T₂ T₁ T4 62 83 39 91 T₂ _a 91 89 Customer T3 97 100 T4 103 98 "A dash indicates the impossibility of certain suppliers for cer- tain depots or customers.
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