A large textile firm has two manufacturing plants, two sources of raw material, and three market centers. The transportation costs between the sources and the plants and between the plants and the markets are as follows: Source Plant Plant A B 1 $1/ton 2 $2/ton 1 A $4/ton B $3/ton $1.50/ton $1.50/ton Market 2 $2/ton $4/ton 3 $1/ton $2/ton Ten tons are available from source 1 and 15 tons from source 2. The three market centers require 8 tons, 14 tons, and 3 tons. The plants have unlimited processing capacity.
A large textile firm has two manufacturing plants, two sources of raw material, and three market centers. The transportation costs between the sources and the plants and between the plants and the markets are as follows: Source Plant Plant A B 1 $1/ton 2 $2/ton 1 A $4/ton B $3/ton $1.50/ton $1.50/ton Market 2 $2/ton $4/ton 3 $1/ton $2/ton Ten tons are available from source 1 and 15 tons from source 2. The three market centers require 8 tons, 14 tons, and 3 tons. The plants have unlimited processing capacity.
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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Transcribed Image Text:6. A large textile firm has two manufacturing plants, two sources of raw material,
and three market centers. The transportation costs between the sources and the
plants and between the plants and the markets are as follows:
Source
Plant
A
1 $1/ton
2 $2/ton
1
A $4/ton
B
$3/ton
Plant
B
$1.50/ton
$1.50/ton
Market
2
$2/ton
$4/ton
3
$1/ton
$2/ton
Ten tons are available from source 1 and 15 tons from source 2. The three market
centers require 8 tons, 14 tons, and 3 tons. The plants have unlimited processing
capacity.

Transcribed Image Text:(b) Reduce the problem to a single standard transportation problem with two
sources and three destinations. (Hint: Find minimum cost paths from sources
to markets.)
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