Three factories each dump waste water containing three different types of pollutants into a river. State regulations require the factories to treat their waste to reduce pollution levels. The following table shows the possible percent reduction of each pollutant at each site and the cost per ton to process the waste. Factory 2 Pollutant 1 45% Pollutant 2 30% Pollutant 3 15% Cost/ton $50 $10 I 14 If the state requires a reduction of at least 60 tons per day of pollutant 1, at least 35 tons per day of pollutant 2, and at least i be treated each day at each site so that the state's requirements are satisfied and the treatment costs are minimized factory 1 factory 2 factory 3 Find the minimum cost. Factory 1 75% 65% 10% x tans x tons Factory 3 20% 15% 3% polutant 3, find the number of tons of waste that must

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Three factories each dump waste water containing three different types of pollutants into a river. State regulations require the factories to treat their waste to reduce pollution levels. The following
table shows the possible percent reduction of each pollutant at each site and the cost per ton to process the waste.
Find the minimum cost.
$
Factory 1
75%
65%
10%
Pollutant 1
Pollutant 2
Pollutant 3
Cost/ton
$50
If the state requires a reduction of at least 60 tons
be treated each day at each site so that the state's
factory 1 0
✓tons
factory 2
factory 3
Need Help?
Factory 2
45%
30%
15%
x tons
x tons
FRACTICE ANOTHER
Factory 3
20%
15%
5%
$10
I
14
per day of pollutant 1, at least 35 tons per day of pollutant 2, and at least 18 tons per day of pollutant 3, find the number of tons of waste that must
requirements are satisfied and the treatment costs are minimized.
Transcribed Image Text:Three factories each dump waste water containing three different types of pollutants into a river. State regulations require the factories to treat their waste to reduce pollution levels. The following table shows the possible percent reduction of each pollutant at each site and the cost per ton to process the waste. Find the minimum cost. $ Factory 1 75% 65% 10% Pollutant 1 Pollutant 2 Pollutant 3 Cost/ton $50 If the state requires a reduction of at least 60 tons be treated each day at each site so that the state's factory 1 0 ✓tons factory 2 factory 3 Need Help? Factory 2 45% 30% 15% x tons x tons FRACTICE ANOTHER Factory 3 20% 15% 5% $10 I 14 per day of pollutant 1, at least 35 tons per day of pollutant 2, and at least 18 tons per day of pollutant 3, find the number of tons of waste that must requirements are satisfied and the treatment costs are minimized.
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