Submitted by: Submitted by parrish38
Views: 399
Words: 463
Pages: 2
Category: Business and Industry
Date Submitted: 03/12/2011 09:23 PM
A.
1.
Decision Variables
X1 = # of Slices of Pizza
X2 = # of Hot Dogs
X3 = # of BBQ Sandwiches
2. Objective Function
X1 X2 X3
Selling Price 1.50 1.50 2.25
-Cost .75 .45 .90
Profit .75 1.05 1.35
The objective function in Julie’s Food Booth is to maximize total profit.
Z= 0.75X1 + $1.05X2 = $1.35X3
3. Contraints
a. Budget = .75X1 = .45X2 + .90X3 = X2 + X3
d. At least sell twice as many hotdogs as BBQ sandwiches ( X2 – 2X3 >= 0)
Model:
Maximize Total profit Z = $0.75X1 + 1.10X2 +1.25X3
Subject to:
0.75X1+0.50X2+1.00X3=0 (at least twice as many hot dogs as BBQ sandwiches
B. Evaluate the propect of borrowing Money before the first game.
Julie will need to borrow money due to the cost of the booth and oven. With the amount of money she currently has is not enough to purchase her food items.
C. Evaluate the prospect of paying a friend $100/game to assist.
Due to Julie expenses I don’t think she will be able to pay a friend $100 for each game to help.
D. Julie must consider the weather and even if the game is crowed I don’t see this being very profitable for Julie due the high cost of the booth. She will not profit enough to cover booth fees and food.
A.
1.
Decision Variables
X1 = # of Slices of Pizza
X2 = # of Hot Dogs
X3 = # of BBQ Sandwiches
2. Objective Function
X1 X2 X3
Selling Price 1.50 1.50 2.25
-Cost .75 .45 .90
Profit .75 1.05 1.35
The objective function in Julie’s Food Booth is to maximize total profit.
Z= 0.75X1 + $1.05X2 = $1.35X3
3. Contraints
a. Budget = .75X1 = .45X2 + .90X3 = X2 + X3
d. At least sell twice as many hotdogs as BBQ sandwiches ( X2 – 2X3 >= 0)
Model:
Maximize Total profit Z = $0.75X1 + 1.10X2 +1.25X3
Subject to:
0.75X1+0.50X2+1.00X3=0 (at least twice as many hot dogs as BBQ sandwiches
B. Evaluate the propect of borrowing Money before the first game.
Julie will need to borrow money due to the cost of the booth and oven. With the amount of money she currently has is not...