Consider a firm that produces a type of highly expensive shoes at two plants located in a particular country. Customers (e.g., retailers) from three neighbor countries have placed orders from the firm. The table below shows unit price charged for shoes shipped to each of those customers (the assumption is: unit prices vary due to differences in shipping costs, customs quota, etc.) The number of units that will be produced at each plant and the number of units ordered by each customer are also given in the table. Το From Customer 1 Unit prices Customer Customer Output 2 3 Plant 1 $70 $80 $70 400 units Plant 2 Order size $50 300 units $110 $80 500 units 150 units 450 units A decision needs to be made about the shipping plan for how many units to ship from each plant to each customer so as to maximize profit. Formulate a linear programming model for this problem (also define 1 decision variables clearly) (do not attempt to solve; only formulation with all the components of LP is required).
Consider a firm that produces a type of highly expensive shoes at two plants located in a particular country. Customers (e.g., retailers) from three neighbor countries have placed orders from the firm. The table below shows unit price charged for shoes shipped to each of those customers (the assumption is: unit prices vary due to differences in shipping costs, customs quota, etc.) The number of units that will be produced at each plant and the number of units ordered by each customer are also given in the table. Το From Customer 1 Unit prices Customer Customer Output 2 3 Plant 1 $70 $80 $70 400 units Plant 2 Order size $50 300 units $110 $80 500 units 150 units 450 units A decision needs to be made about the shipping plan for how many units to ship from each plant to each customer so as to maximize profit. Formulate a linear programming model for this problem (also define 1 decision variables clearly) (do not attempt to solve; only formulation with all the components of LP is required).
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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am. 103.

Transcribed Image Text:Consider a firm that produces a type of highly expensive shoes at two plants
located in a particular country. Customers (e.g., retailers) from three neighbor
countries have placed orders from the firm. The table below shows unit price charged
for shoes shipped to each of those customers (the assumption is: unit prices vary due
to differences in shipping costs, customs quota, etc.)
The number of units that will be produced at each plant and the number of units
ordered by each customer are also given in the table.
Το
From
Customer
1
Unit prices
Customer
Customer
Output
2
3
Plant 1
$70
$80
$70
400 units
Plant 2
Order size
$50
300 units
$110
$80
500 units
150 units
450 units
A decision needs to be made about the shipping plan for how many units
to ship from each plant to each customer so as to maximize profit.
Formulate a linear programming model for this problem (also define
1
decision variables clearly) (do not attempt to solve; only formulation
with all the components of LP is required).
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