Eagle Tavern

P1

Eagle Tavern
Yodel Shotz Rainwater
Cost/Gallon 1.5 0.9 0.5
Selling price 3 2.5 1.75
profit
Capacity 1 1 1 = 1000
Demand for Yodel 1 0 0 <= 400
Demand for Shotz 0 1 0 <= 500
Demand for Rainwater 0 0 1 <= 300
# of Gallons # of Gallons # of Gallons
Yodel Shotz Rainwater
Decision Variables
Objective Function

P2

congressman’s district
Program Votes/ Dollar
Job training 0.03
Parks 0.08
Sanitation 0.05
Mobile library 0.03
Comments
Constraints <= 900000 Job training
<= 900000 Parks
<= 900000 Sanitation
<= 900000 Mobile library
<= Parks <= Sanitation + Mobile Library
>= Job training >= Sanitation
spending = 3000000 all four job catagories
Decision Variables Job training
Parks
Sanitation
Mobile library
Objective Maximize Votes

P3

Anna Broderick Lunch Menu
Calories Iron Protein Carbo-hydrates Fat (g/lb.) Chol-esterol Cost
(per lb.) (mg/lb.) (g/lb.) (g/lb.) (mg/lb.)
$/lb.
Chicken 500 4.2 17 0 30 180 0.85
Fish 480 3.1 85 0 5 90 3.35
Ground beef 840 0.25 82 0 75 350 2.45
Dried beans 590 3.2 10 30 3 0 0.85
Lettuce 40 0.4 6 0 0 0 0.7
Potatoes 450 2.25 10 70 0 0 0.45
Milk (2%) 220 0.2 16 22 10 20 0.82
Constraints >= >= >= >= >= <=
1300 4 30 60 15 35
<= <=
2100 55
(a) Objective Minimize Cost ($)
(b) if a serving of each of the the food items (other than milk) was limited to no more than a half pound, what effect would this have on the solution?
Decision Variables Chicken <= 0.5
Fish <= 0.5
Ground beef <= 0.5
Dried beans <= 0.5
Lettuce <= 0.5
Potatoes <= 0.5
Milk (2%)
Objective Minimize Cost ($)
Answer: No feasible solution found

P4

Jefferson County Regional HospitalScheduling
Let Xi = number of nurses that begin their 8 hour shift in period I (I = 1,2,3,4, …., 12)
period 1 12:00AM — 2:00Am
period 2 2:00AM — 4:00 AM etc
# of Nurses Minimum # of
DV Period working Nurses
x1 1 >= 30
x2 2 >= 20
x3 3 >= 40
x4 4 >= 50
x5 5 >= 60
x6 6 >= 80
x7 7 >= 80
x8 8 >= 70
x9 9 >= 70
x10 10 >= 60
x11 11 >= 50
x12 12 >= 50
Objective Function

P5

Videotechnics Company (Multi Production and Inventory)
Let Ri = Regular production in month I, where I = 1,2,3,4,5 Cost for recorders produced during regular working hours is $10
Oi = Overtime production in month I, where I = 1,2,3,4,5 Cost for recorders produced during regular working hours is $15
I_i = Inventory at end of month I, where I = 1,2,3,4
R1 <= 2000 O1 <= 600 I_1
R2 <= 2000 O2 <= 600 I_2
R3 <= 2000 O3 <= 600 I_3
R4 <= 2000 O4 <= 600 I_4
R5 <= 2000 O5 <= 600
Month
1 = 1200
2 = 2100
3 = 2400
4 = 3000
5 = 4000
Objective function