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A B C D E F G H I J
Product 1 Product 2 Product 3 Product 4
Start-up Cost $50,000 $40,000 $70,000 $60,000
Marginal Revenue
$70 $60 $90 $80
Modified
Resource Resource Resource
Used Available Available
Constraint 1 5 3 6 4 6,000 <= 6,000 6,000
Constraint 2 4 6 3 5 12,000 <= 15,999 6,000
Product 1 Product 2 Product 3 Product 4
Units Produced 0 2,000 0 0
<= <= <= <=
Only if Setup 0 9,999 0 0 Total Max Products
Setup? 0 1 0 0 1 <= 2
<= <=
only if (1 or 2) 1 1 Revenue #######
Setup Cost $40,000
Which Constraint (0 = Constraint 1, 1 = Constraint 2):
0 Total Profit $80,000
Resource Used per Unit Produced
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A B C D E F G
Toy 1 Toy 2
Start-up Cost $50,000 $80,000
Unit Profit $10 $15
Modified
Resource Hours Hours
Used Available Available
Factory 1 0.02 0.025 560 <= 10,499 500
Factory 2 0.025 0.04 700 <= 700 700
Toy 1 Toy 2
28,000 0
<= <= Gross Profit #######
Only if Setup 99,999 0 Setup Cost $50,000
Setup? 1 0 Net Profit #######
Which Factory (0 = Factory 1, 1 = Factory 2)? 1
Hours Used per
Unit Produced
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A B C D E F G H I J K
Profit ($million)
1 Plane 2 Planes 3 Planes 4 Planes 5 Planes
Customer 1 -1 24– –
Customer 2 1 5 – – –
Customer 3 1 3 5 6 7
Capacity Used
1 Plane 2 Planes 3 Planes 4 Planes 5 Planes Total
Customer 1 20% 40% 60% – – Capacity Capacity
Customer 2 40% 80% – – – Used
Available
Customer 3 20% 40% 60% 80% 100% 100% <= 100%
Produce?
1 Plane 2 Planes 3 Planes 4 Planes 5 Planes Total
Customer 1 0 0 0 0 0 0 <= 1 Total Profit
Customer 2 0 0 0 0 0 0 <= 1 7
Customer 3 0 0 0 0 1 1 <= 1 ($million)
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A B C D E F G H
Product 1 Product 2 Product 3
Unit Profit $50 $20 $25
Hours Hours
Machine Hours Used per Unit Produced
Used Available
Milling machine 9 3 5 500 <= 500
Lathe 5 4 0 350 <= 350
Grinder 3 0 2 135.71 <= 150
Product 1 Product 2 Product 3 Total Profit
Production Rate 45.238 30.952 0$2,881
<= <= <=
Only if Produce 999 999 0 Total
Produce? 1 1 0 2 <= 2
Produce 3 Production Rate 0 <= 20 Sales Potential
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A B C D E F G H I
Profit Value
1 2 3
X13 8 9
X2924 9
Constraint
1 2 3
X11 2 3 Total
X21 2 3 3 <= 3
Assignment
1 2 3 Total
X11 0 0 1 <= 1 Total Profit
X20 1 0 1 <= 127