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A B C D E F G H I J K
Large Medium Small
Unit Profit $420 $360 $300
Space Required 20 15 12
(sq.ft. per unit)
Total Space Space
Production Large Medium Small Produced Capacity Required Available
Plant 1 516.67 177.78 0694.4 <= 750 13,000 <= 13,000
Plant 2 0 666.67 166.67 833.3 <= 900 12,000 <= 12,000
Plant 3 0 0 416.67 416.7 <= 450 5,000 <= 5,000
Total Produced 516.67 844.44 583.33
<= <= <= Total Profit
Sales Forecast 900 1200 750 $696,000
Percentage of Plant 1 Capacity 93% =93% Percentage of Plant 2 Capacity
Percentage of Plant 1 Capacity 93% =93% Percentage of Plant 3 Capacity
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A B C D E F G H I J K L
Cargo 1 Cargo 2 Cargo 3 Cargo 4
Volume (cf/ton) 500 700 600 400
Profit (per ton) $320 $400 $360 $290
Cargo Total Weight Total Volume
Placement (tons) Cargo 1 Cargo 2 Cargo 3 Cargo 4 Weight Capacity Volume Capacity
Front 0 7.333 04.667 12 <= 12 7,000 <= 7,000
Center 13 1.667 03.333 18 <= 18 9,000 <= 9,000
Back 0 0 5 5 10 <= 10 5,000 <= 5,000
Total 13 9 5 13
<= <= <= <= Total Profit
Available (tons) 20 16 25 13 $13,330
Percentage of Front Capacity 100% =100% Percentage of Middle Capacity
Percentage of Front Capacity 100% =100% Percentage of Back Capacity
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A B C D E F G
Men’s Women’s Children’s
Gross Profit $8 $10 $6
(per glove)
Full Time Part Time
Labor Cost (per hour) $13 $10
Hours worked per week 40 20
Labor Cost (per week) $520 $200
Resource Usage Resource Resource
per Unit of Activity Used Available
Material (sq. ft.) 2 1.5 15000 <= 5000
Labor (minutes) 30 45 40 75000 <= 75,000
Men’s Women’s Children’s
Production (per week) 2500 0 0
Gross Profit $20,000
Full Time Part Time Labor Cost $15,500
Employees 25 12.5 Net Profit $4,500
>=
Minimum Full Time 20
2
Full Time 25 >= 25 Times Part-Time
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A B C D E F G H I J K
Hours Available
Wage Rate Monday Tuesday Wednesday Thursday Friday
K.C. $10.00 6 0 6 0 6
D.H. $10.10 0 6 0 6 0
H.B. $9.90 4 8 4 0 4
S.C. $9.80 5 5 5 0 5
K.S. $10.80 3 0 3 8 0
N.K. $11.30 0 0 0 6 2
Hours
Hours Worked Monday Tuesday Wednesday Thursday Friday Worked Output
K.C. 4 0 2 0 3 9 >= 8
D.H. 0 2 0 6 0 8 >= 8
H.B. 4 7 4 0 4 19 >= 8
S.C. 5 5 5 0 5 20 >= 8
K.S. 1 0 3 3 0 7 >= 7
N.K. 0 0 0 5 2 7 >= 7
Hours Worked 14 14 14 14 14
= = = = = Total Cost
Hours Needed 14 14 14 14 14 $710
Hours Worked <= Hours Available
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A B C D E F G H I J K
Strawberry Cream Vitamin Sweetener Thickener
Unit Cost $0.10 $0.08 $0.25 $0.15 $0.06
(per tbsp)
Level
Nutritional Contents (per tbsp) Achieved Minimum Maximum
Total Calories 50 100 0120 80 380 >= 380 <= 420
Vitamin Content (mg) 20 050 0 2 64.167 >= 50
Thickeners (mg) 3 8 1 2 25 15 =15
Calories from Fat 1 75 0 0 30 23.521 <= 76
20%
Strawberry Cream Vitamin Sweetener Thickener Total Cost of Total Calories
Contents (tbsp) 3.208 0.271 01.604 0$0.58
>=
3.208 2 times Sweetener
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A B C D E F G H I J K L
Peanut Strawberry Graham
Bread Butter Jelly Cracker Milk Juice
(slice) (tbsp.) (tbsp.) (tbsp.) (cup) (cup)
Unit Cost $0.05 $0.04 $0.07 $0.08 $0.15 $0.35
Level
Nutritional Contents Achieved Minimum Maximum
Total Calories 70 100 50 60 150 100 400 >= 400 <= 600
Vitamin C (mg) 0 0 3 0 2 120 60 >= 60
Protein (g) 3 4 0 1 8 1 13.949 >= 12
Calories from Fat 10 75 020 70 0120 <= 120
30%
Peanut Strawberry Graham of Total Calories
Bread Butter Jelly Cracker Milk Juice
(slice) (tbsp.) (tbsp.) (tbsp.) (cup) (cup) Total Cost
Contents (tbsp) 2 0.575 0.287 1.039 0.516 0.484 $0.47
=
2
Peanut Butter 0.575 >= 0.575 2 Times Strawberry Jelly
Total Liquid 1 >= 1
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A B C D E F G H I
Unit Cost
1 2 3 4
1$500 $600 $400 $200
Plant 2 $200 $900 $100 $300
3$300 $400 $200 $100
4$200 $100 $300 $200
Shipments
1 2 3 4 Total Shipped Supply
1 0 0 0 10 10 =10
Plant 2 20 000 20 =20
3 0 0 10 10 20 =20
4 0 10 0 0 10 =10
Total Received 20 10 10 20
= = = = Total Cost
Demand 20 10 10 20 $10,000
Retail Outlet
Retail Outlet
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A B C D E F G H I
Distance (miles)
1 2 3 4
1800 1,300 400 700
Plant 2 1,100 1,400 600 1,000
3600 1,200 800 900
Fixed Cost $100
Cost per Mile $0.50
Unit Cost
1 2 3 4
1$500 $750 $300 $450
Plant 2 $650 $800 $400 $600
3$400 $700 $500 $550
Shipments
1 2 3 4 Total Shipped Supply
1 0 0 2 10 12 =12
Plant 2 0 9 8 0 17 =17
310 100 11 =11
Total Received 10 10 10 10
= = = = Total Cost
Demand 10 10 10 10 $20,200
Distribution Center
Distribution Center
Distribution Center
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A B C D E F G H I
Unit Profit
1 2 3 4
1$800 $700 $500 $200
Plant 2 $500 $200 $100 $300
3$600 $400 $300 $500
Shipments
1 2 3 4 Total Shipped Supply
1 0 60 0 0 60 =60
Plant 2 40 0 0 40 80 =80
3 0 0 20 20 40 =40
Total Received 40 60 20 60
= = >= Total Cost
Commitment 40 60 20 $90,000
Customer
Customer
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A B C D E F G H
Unit Cost Distribution Center
1 2 3
Plant A $800 $700 $400
B$600 $800 $500
Shipments Distribution Center
1 2 3 Total Shipped Supply
Plant A 0 20 20 40 <= 50
B20 0 0 20 <= 50
Total Received 20 20 20
= = = Total Cost
Demand 20 20 20 $34,000
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A B C D E F G H
Unit Cost Distribution Center
1 2 3
Plant A $800 $700 $400
B$600 $800 $500
Shipments Distribution Center
1 2 3 Total Shipped Supply
Plant A 0 10 30 40 <= 50
B20 0 0 20 <= 50
10 10 10
<= <= <= Total
Total Received 20 10 30 60 =60
<= <= <=
Demand 30 30 30 Total Cost
$31,000
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A B C D E F G H
Unit Cost Job
1 2 3
A$5 $7 $4
Person B $3 $6 $5
C$2 $3 $4
Assignments Job Total
1 2 3 Assignments Supply
A 0 0 1 1 = 1
Person B 1 0 0 1 = 1
C 0 1 0 1 = 1
Total Assigned 1 1 1
= = = Total Cost
Demand 1 1 1 $10
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A B C D E F G H I
Unit Cost
1 2 3 4
1$500 $400 $600 $700
Ship 2 $600 $600 $700 $500
3$700 $500 $700 $600
4$500 $400 $600 $600
Assignments Total
1 2 3 4 Assignments Supply
1 0 1 0 0 1 = 1
Ship 2 0 0 0 1 1 = 1
3 0 0 1 0 1 = 1
4 1 0 0 0 1 = 1
Total Assigned 1 1 1 1
= = = = Total Cost
Demand 1 1 1 1 $2,100
Port
Port
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A B C D E F G H
Unit Cost Distribution Center
1 2 3
Plant A $800 $700 $400
B$600 $800 $500
Demand 10 20 30
Cost of Assignment Distribution Center
1 2 3
Plant A $8,000 $14,000 $12,000
B$6,000 $16,000 $15,000
Shipments Distribution Center
1 2 3 Total Assignments Supply
Plant A 0 1 1 2 <= 2
B 1 0 0 1 <= 2
Total Assigned 1 1 1
= = = Total Cost
Demand 1 1 1 $32,000
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A B C D E F
Tow Bars Stabilizer Bars
Unit Profit $130 $150
Hours Hours
Used Available
Machine 1 3.2 2.4 12 <= 16
Machine 2 2 3 15 <= 15
Tow Bars Stabilizer Bars Total Profit
Units Produced 0 5 $750
Hours Used Per Unit Produced
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A B C D E F
Model A Model B
(high speed) (lower speed)
Unit Cost $6,000 $4,000
Total Capacity
Capacity Needed
Capacity 20,000 10,000 80,000 >= 75,000
Model A Model B
(high speed) (lower speed) Total Total Cost
Purchase 2 4 6 $28,000
>= >=
1 Min Needed 6
Copies per Day
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A B C D E F G
Long-Range
Medium-Range
Short-Range
Jets Jets Jets
Annual Profit ($million) 4.2 32.3
Resource Resource
Resource Used Per Unit Produced Used Available
Budget 67 50 35 1498 <= 1500
Maintenance Capacity 1.667 1.333 139.333 <= 40
Pilot Crews 1 1 1 30 <= 30
Long-Range
Medium-Range
Short-Range Total Annual
Jets Jets Jets Profit ($million)
Purchase 14 016 95.6