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Title
Decision Variables X1 X2 Max Z
Objective function 4.5 3.5
Optimum Values 624 300 3858
Sign
Availablity/
Requirement
Printing Time 2.5 2 = 300
Subject to Constraints
Decorating Store
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Used
Resource
Slack/
Surplus
2160 0
1723.2 -76.8
624 224
300 0
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Title
Decision Variables X1 X2 Min Z
Objective function 1.8 0.6
Optimum Values 33.75 26.25 76.5
Sign
Availablity/
Requirement
Min Weight 1 >= 33
Pounds/bag 1 1 = 60
Aroma rating 2 1.2 >= 99
The Coastal Tea Company
Subject to Constraints
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Used
Resource
Slack/
Surplus
33.75 0.75
60 0
99 0
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Internet Print
Number used 10.00 50.00
Exposure 200000 80000 6000000
Constraints:
Budget available $3,000 $900 $75,000
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A B
Number of units 0.00 120.00
Profit $22 $15 $1,800.00
Constraints:
Wiring time 3 2 240.00
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A B
Number of units 24.00 84.00
Profit $13 $15 $1,572.00
Constraints:
Wiring trime 3 2 240.00
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Mission Rustic
Number of units 80.00 0.00
Profit $910 $1,200 $72,800.00
Constraints:
Materials 340 430 27200.00
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Carolina South West
$ invested $401.72 $2,750.79
Investment 1 1 $3,152.52
Constraints
Short term appr 0.46 0.26 900.00 >= 9003-year appr 1.72 1.93
6000.00 >= 6000
Dividend income 0.09 0.13 393.76 >= 300
LHS Sign RHS
Problem 2-27
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carolina south west z
dec var 401.7249 2750.794 3152.519
obj fu 1 1
subjective to constrains
x1 x2 signs av used slak
short trm app 0.46 0.26 >= 900 900 0long trm app 1.72 1.93
>= 6000 6000 0
div inc 0.09 0.13 >= 300 393.7585 -93.7585
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Double Single
Number of units 150.00 200.00
Revenue $225.00 $175.00
Direct labor cost $101.25 $70.00
Production cost $38.75 $30.00Storage bag cost $20.00 $20.00
Profit $65.00 $55.00 $20,750.00
Constraints
Total limit 1 1 350.00
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Double Single
Number of units 0.00 400.00
Revenue $225.00 $175.00
Direct labor cost $101.25 $70.00
Production cost $38.75 $30.00Storage bag cost $20.00 $20.00
Profit $65.00 $55.00 $22,000.00
Constraints
Total limit 1 1 400.00
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400
960
RHS
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Regular LowFat
Number of units 52.00 48.00
Profit $1.58 $1.65 $161.36
Constraints
Espresso 1.00 1.00 100.00
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Large Small
Number of sheds 30.00 70.00
Rent $50 $20 $2,900.00
Constraints:
Advt. budget $1 $1 $100.00
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Problem 2-31
Small Large
Number of boxes 344.00 80.00
Rent $30 $40 $13,520.00
Constraints:
Square feet available 0.50 0.85 240.00 = 350
Min required, large 1 80.00 >= 80
LHS Sign RHS
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Problem 2-32
T-notes M-bonds
Amount invested $145,000 $105,000
Return 8.00% 9.00% $21,050
Constraints:
Amount available 1 1 $250,000
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Bench Table
Number of units 175.00 50.00
Profit $9 $20 $2,575.00
Constraints:
Labor hours 4 6 1000.00
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A B
Number of units 175.00 35.00
Profit $90 $70 $18,200.00
Constraints:
Steel available 120 100 24500.00
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Core Elective
Courses 35.00 25.00
Wages $2,600 $3,000 $166,000
Constraints:
Total courses 1 1 60.00 >= 60
Credit hours 3 4 205.00 >= 205
Min core 1 35.00 >= 20
Min elective 1 25.00 >= 20
LHS Sign RHS
Problem 2-35
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Pruned Regular
Number of barrels 25.00 62.50
Revenue $20 $30 $2,375.00
Constraints:
Labor hours 5 2 250.00
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Feed X Feed Y Feed Z
# of pounds 16.00 16.00 0.00
Cost $3.00 $4.00 $2.25 $112.00
Constraints
Nutrient A needed 3 2 4 80.00 >= 64Nutrient B needed 2 3 1
80.00 >= 80
Nutrient C needed 1 2 16.00 >= 16
Nutrient D needed 6 8 4 224.00 >= 128
Feed Z max 1 0.00
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V231 V242 V784 V906
# of valves 332.50 250.00 600.00 450.00
Profit $16 $12 $13 $8 $19,720.00
Constraints
Drilling time 0.40 0.30 0.45 0.35 635.50 = 450
LHS Sign RHS
Problem 2-38
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Problem 2-39
Small Large Mini
Number of boxes 284.00 80.00 100.00
Rent $30 $40 $17 $13,420.00
Constraints:
Square feet available 0.50 0.85 0.30 240.00 = 80
Min required, mini 1 100.00 >= 100
LHS Sign RHS
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Problem 2-40
Print Jet Print Desk Print Pro
Number of units 168.32 287.13 683.17
Profit $60 $90 $73 $85,811.88
Constraints
Assembly time 2.9 3.7 3.0 3600.00 = 455.45
LHS Sign RHS
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EC221 EC496 NC455 NC791
# of units 20,650.00 100.00 2,750.00 400.00
Profit $9 $12 $15 $11 $232,700.00
Constraints
Wiring time 0.5 1.5 1.5 1.0 15000.00 = 400
LHS Sign RHS
Problem 2-41
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Problem 2-42
Plain Mixed Premium
Number of cans 375.00 400.00 100.00
Revenue $2.25 $3.37 $6.49 $2,840.75
Constraints:
Peanuts 0.8 0.5 500.00
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Problem 2-43
BBC CBC ABC
$ invested $2,555.25 $1,139.50 $0.00
Investment 1 1 1 $3,694.75
Constraints
Short term growth 0.39 0.26 0.42 $1,292.82 >=
$1,000Intermediate growth 1.59 1.70 1.45 $6,000.00 >= $6,000
Dividend income 0.08 0.04 0.06 $250.00 >= $250
LHS Sign RHS
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