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.

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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: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.
(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.)
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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