Neki Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City. These are shipped to regional distribution centre in Chicago. Ultimately they are delivered to supply houses in New York and Los Angeles. The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below. To From Chicago New York | Los Angeles Supply Pittsburgh $4 $8 1500 Kansas City $3 $2 1000 Chicago $5 $7 - Demand 1200 800 This problem will be formulated as a linear program in Excel to determine the optimal shipping schedule. Let (1) = Pittsburgh, (2) = Kansas City,. (3) = Chicago, (4) = New York, and (5)= Los Angeles Let xij = the number of units shipped from location i to location j. The objective function is: Minimise total cost = The number of decision variables in this problem is: The node 1 (Pittsburgh) constaint is: The node 3 (Chicago) constraint is: The non-negativity constraint is written as follows:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Neki Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City. These
are shipped to regional distribution centre in Chicago. Ultimately they are delivered to supply houses in
New York and Los Angeles. The available supplies at the factories, demands at the final destinations,
and shipping costs are illustrated in the table below.
To
From
Chicago New York | Los Angeles Supply
Pittsburgh
$4
$8
1500
Kansas City
$3
$2
1000
Chicago
$5
$7
-
Demand
1200
800
This problem will be formulated as a linear program in Excel to determine the optimal shipping
schedule.
Let (1) = Pittsburgh, (2) = Kansas City,. (3) = Chicago, (4) = New York, and (5)= Los Angeles
Let xij = the number of units shipped from location i to location j.
The objective function is: Minimise total cost =
The number of decision variables in this problem is:
The node 1 (Pittsburgh) constaint is:
The node 3 (Chicago) constraint is:
The non-negativity constraint is written as follows:
Transcribed Image Text:Neki Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City. These are shipped to regional distribution centre in Chicago. Ultimately they are delivered to supply houses in New York and Los Angeles. The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below. To From Chicago New York | Los Angeles Supply Pittsburgh $4 $8 1500 Kansas City $3 $2 1000 Chicago $5 $7 - Demand 1200 800 This problem will be formulated as a linear program in Excel to determine the optimal shipping schedule. Let (1) = Pittsburgh, (2) = Kansas City,. (3) = Chicago, (4) = New York, and (5)= Los Angeles Let xij = the number of units shipped from location i to location j. The objective function is: Minimise total cost = The number of decision variables in this problem is: The node 1 (Pittsburgh) constaint is: The node 3 (Chicago) constraint is: The non-negativity constraint is written as follows:
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