1
2
3
4
5
6
7
8
9
10
11
A B C D E F
X1X2
Unit Profit 2 1
Resource Resource
Used Available
Resource 1 0 1 5 <= 10
Resource 2 2 5 51 <= 60
Resource 3 1 1 18 <= 18
Resource 4 3 1 44 <= 44
X1X2Total Profit
Decision 13 531
Resource Usage
1
2
3
4
5
6
7
8
9
A B C D E F
Product 1 Product 2
Unit Profit 3 2
Resource Resource
Used Available
Resource 1 1 1 8 <= 8
Resource 2 2 1 10 <= 10
Product 1 Product 2 Total Profit
Decision 2 6 18
Resource Usage
1
2
3
4
5
6
7
8
9
10
A B C D E F
Hot Dogs Buns
Unit Profit $0.20 $0.10
Resource Resource
Used Available
Flour 0 0.1 120 <= 200
Pork 0.25 0800 <= 800
Work Hours 3 2 12,000 <= 12,000
Hot Dogs Buns Total Profit
Decision 3,200 1,200 $760
Resource Usage
1
2
3
4
5
6
7
8
9
10
11
12
A B C D E F G
Tables Chairs
Unit Profit $400 $100
Resource Resource
Used Available
Oak 50 25 2,500 <= 2,500
Labor Hours 6 6 450 <= 480
Tables Chairs Total Profit
Decision 25 50 $15,000
Chairs 50 >= 50 2
Times Number
of Tables
Resource Usage
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
A B C D E F G H I J K L
Beef Gravy Peas Carrots Roll
Unit Cost $0.40 $0.35 $0.15 $0.18 $0.10
(per ounce)
Nutritional Data (per ounce) Total in Diet Needed Maximum
Calories 54 20 15 840 320 >= 280 <= 320
Fat Calories 19 15 0 0 10 96
Vitamin A (IU) 0 0 15 350 0600 >= 600
Vitamin C (mg)
0 1 3 1 0 12.38 >= 10
Protein (g) 8 0 1 1 1 30 >= 30
Beef Gravy Peas Carrots Roll Total Cost
Diet (ounces) 2.94 1.47 3.11 1.58 1.82 $2.62
>=
Minimums 2
Fat Calories 96 <= 96 30% of Total Calories
Gravy 1.47 >= 1.47 50% of Beef
1
2
3
4
5
6
7
8
9
10
A B C D E F G
Steak Potatoes
Unit Cost $4 $2
Total Nutrition Daily Requirement
(grams) (grams)
Carbohydrates
515 50 >= 50
Protein 20 540 >= 40
Fat 15 224.91 <= 60
Steak Potatoes Total Cost
Servings 1.27 2.91 $10.91
Nutritional Info (grams/serving
1
2
3
4
5
6
7
8
9
10
11
A B C D E F
Feed A Feed B
Unit Cost $0.40 $0.80
(per pound) Total Daily
Nutrition
Requirement
Calories 800 1,000 8,000 >= 8,000
Vitamins 140 70 800 >= 700
Feed A Feed B Total Cost
Diet (pounds) 2.86 5.71 $5.71
<=
2.86 33.33% of Total Diet
Nutrition (per pound)
1
2
3
4
5
6
7
8
9
10
11
12
A B C D E F
Television Print Media
Unit Cost ($millions)
1 2
Increased Minimum
Sales Increase
Stain Remover 0% 1.5% 4% >= 3%
Liquid Detergent 3% 4% 18% >= 18%
Powder Detergent -1% 2% 4% >= 4%
Total Cost
Television Print Media ($millions)
Advertising Units 2 3 8
Increase in Sales per Unit of Advertising
1
2
3
4
5
6
7
8
9
10
A B C D E F
Activity 1 Activity 2
Unit Cost 40 50
Totals Limit
Constraint 1 2 3 30 >= 30
Constraint 2 1 1 12.5 >= 12
Constraint 3 2 1 20 >= 20
Activity 1 Activity 2 Total Cost
Decision 7.5 5550
1
2
3
4
5
6
7
8
9
10
A B C D E F
Activity 1 Activity 2
Unit Cost 40 70
Totals Limit
Constraint 1 2 3 30 >= 30
Constraint 2 1 1 15 >= 12
Constraint 3 2 1 30 >= 20
Activity 1 Activity 2 Total Cost
Decision 15 0600
1
2
3
4
5
6
7
8
9
10
A B C D E F
Activity 1 Activity 2
Unit Cost 40 50
Totals Limit
Constraint 1 2 3 30 >= 30
Constraint 2 1 1 12 >= 12
Constraint 3 2 1 18 >= 15
Activity 1 Activity 2 Total Cost
Decision 6 6 540
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
A B C D E F G H I J K L M
Bread
Peanut Butter
Jelly Milk Juice
(slice) (tbsp) (tbsp) Apples (cup) (cup)
Unit Cost $0.06 $0.05 $0.08 $0.35 $0.20 $0.40
Nutritional Data
Total in Diet
Calories from Fat
15 80 0 0 60 0128.46 Needed Maximum
Calories 80 100 70 90 120 110 443.08 >= 300 <= 500
Vitamin C (mg) 0 0 4 6 2 80 60 >= 60
Fiber (g) 4 0 3 10 0 1 11.69 >= 10
Bread
Peanut Butter
Jelly Milk Juice
(slice) (tbsp) (tbsp) Apples (cup) (cup) Total Cost
Diet (ounces) 2 1 1 0 0.308 0.692 $0.59
>= >= >=
Minimums 2 1 1
Fat Calories 128 <= 132.92 30% of Total Calories
Milk and Juice 1 >= 1