Steel mills in three cities produce the following amounts of steel: Weekly Production (tons) 150 210 320 680 These mills supply steel to four cities, where manufacturing plants have the following demand: Location Weekly Demand (tons) 130 1. Detroit 2. St. Louis 70 3. Chicago 4. Norfolk Shipping costs per ton of steel are as follows: To (cost) Fro E Location A. Bethlehem B. Birmingham C. Gary A B DE C 1 2 $14 $9 11 8 16 12 3 180 240 620 $16 1 10 4 $18 16 22 Because of a truckers' strike, shipments are prohibited from Birmingham to Chicago.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Formulate this problem as a linear programming model and solve it by using the computer.

Steel mills in three cities produce the following amounts of steel:
Location
Weekly Production (tons)
A. Bethlehem
150
B. Birmingham
210
C. Gary
320
680
These mills supply steel to four cities, where manufacturing plants have the following demand:
Location
Weekly Demand (tons)
1. Detroit
130
2. St. Louis
70
3. Chicago
180
4. Norfolk
240
620
Shipping costs per ton of steel are as follows:
Тo (сost)
Fro
1 2
3
4
m
A
$14
$ 9
$16
$18
B
11
8
7
16
C
16
12
10
22
Because of a truckers' strike, shipments are prohibited from Birmingham to Chicago.
%24
Transcribed Image Text:Steel mills in three cities produce the following amounts of steel: Location Weekly Production (tons) A. Bethlehem 150 B. Birmingham 210 C. Gary 320 680 These mills supply steel to four cities, where manufacturing plants have the following demand: Location Weekly Demand (tons) 1. Detroit 130 2. St. Louis 70 3. Chicago 180 4. Norfolk 240 620 Shipping costs per ton of steel are as follows: Тo (сost) Fro 1 2 3 4 m A $14 $ 9 $16 $18 B 11 8 7 16 C 16 12 10 22 Because of a truckers' strike, shipments are prohibited from Birmingham to Chicago. %24
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