# 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