Acme has two manufacturing facilities (Plant1 and Plant2)for cement and has three customers (North, West and East). The plant s can produce up to 50 tons each and customers has orders for 25, 45 and 10 tons repsectively. Management is interested in knowing how many tons of cement it should ship from each plant to each customers so it minimizes its shipping cost. It can ship only whole tons (Integers constraint). Use an LP model to calculate its cost. Cost of shipping table Origin Plant1 Plant2 Demand (no. of units) Units to be shipped Plant1 Plant2 O 2790 2890 O 2490 2290 Destination North 24 30 25 North West 30 40 45 West East 40 42 10 East Plant supply (units) 50 50

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Acme has two manufacturing facilities (Plant1 and Plant2)for cement and has three customers
(North, West and East). The plant s can produce up to 50 tons each and customers has orders for
25, 45 and 10 tons repsectively. Management is interested in knowing how many tons of cement it
should ship from each plant to each customers so it minimizes its shipping cost. It can ship only
whole tons (Integers constraint). Use an LP model to calculate its cost.
Cost of shipping table
Origin
Plant1
Plant2
Demand (no. of units)
Units to be shipped
Plant1
Plant2
2790
2890
2490
2290
Destination
North
24
30
25
North
West
30
40
45
West
East
40
42
10
East
Plant supply (units)
50
50
Transcribed Image Text:Acme has two manufacturing facilities (Plant1 and Plant2)for cement and has three customers (North, West and East). The plant s can produce up to 50 tons each and customers has orders for 25, 45 and 10 tons repsectively. Management is interested in knowing how many tons of cement it should ship from each plant to each customers so it minimizes its shipping cost. It can ship only whole tons (Integers constraint). Use an LP model to calculate its cost. Cost of shipping table Origin Plant1 Plant2 Demand (no. of units) Units to be shipped Plant1 Plant2 2790 2890 2490 2290 Destination North 24 30 25 North West 30 40 45 West East 40 42 10 East Plant supply (units) 50 50
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