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Example: Hot Tub Production Planning

Decision variables

Aqua Spa Hydro-Lux

umber o! units 122 78

Pro"t 350 300

#b$ective %unction

&aximi'e pro"t 66100

Sub$ect to (onstraints Usage

Pumps 1 1 200

Labour )ours 9 6 1566

Tubing %eet 12 16 2712

on-negativity 0

on-negativity 0

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Availability

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Example: Picnic Tables and *enc)es

Decision variables

Tables *enc)es

umber o! units 218 436

Pro"t 7 5

#b$ective %unction

&aximi'e pro"t 3706

Sub$ect to (onstraints Usage

(arpentry Time 3 4 2398

Painting Time 2 1 872

Table+*enc) ,atio 2 -1 0

on-negativity 0

on-negativity 0

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Availability

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Example: Transportation Problem

Store

Decision variables 4 5

%actory

200000 0

2 0 250000

3 0 300000

#b$ective %unction &inimi'e Distance 24000000

Sub$ect to (onstraints Distance !rom %a

4 5

%actory

1 21 50

2 35 30

3 55 20

(apacity

For Store 4 200000

For Store 5 550000

For Store 6 225000

Production

For Fatory 1 275000

For Fatory 2 400000

For Fatory 3 300000

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6

75000

150000

0

ctories to Stores

6

40

22

25

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Fee!1 Fee!2 Fee!3

"#$ber o% &o#'!s 0 0 0

(ost )er )o#'!s 0*25 0*3 0*32

+i'i$i,e (ost 0

&ere'ts o% "#trie'ts i'

"#trie't Fee! 1 Fee! 2 Fee! 3

(or' 0*3 0*05 0*2

rai' 0*1 0*03 0*15

+i'erals 0*2 0*2 0*2

.otal /r!er 0

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Fee!4

0

0*15

Fee! 4

0*1 0 >= 20

0*1 0 >= 15

0*3 0 >= 15

8000