A) Formulate and solve an L.P. model for this case.

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B) Evaluate the prospect of borrowing money before the first game.

After observing the ranging chart calculations indicate that the upper bound in the budget is equal to 1638.4. The original value of the budget is 1500. If you subtract the 1500 from the 1638.4 it will leave 138.4 which indicate room for Julie to borrow. This is a good thing for Julie because for every 138.4 she borrows dual value will increase 1.5. She will also have enough funds to purchase more sandwiches. After she pays any funds back that she has borrowed then she will earn a profit of at least $69.20 which is half of the $138.40 borrowed.

C) Evaluate the prospect of paying a friend $100/game to assist.

The linear programming results show that Julie will have a profit of $2250 minus the $1000 for booth rent for the month which will leave $1150. She only wants to make a profit of $1000 therefore she has at least $150 to keep $50 to purchase more sandwiches and $100 to pay a friend. After the purchase of more sandwiches Julie made need some additional help. Therefore it will be feasible to hire a friend for extra help which could help to generate more profit.

D) Analyze the impact of uncertainties on the model.

The impact of uncertainties on the model could first be the oven could have a malfunction and burn some of the food purchased which Julie would need to replace the food. The second uncertainty that could happen is that the game could have a huge crowd causing Julie and her friend to work harder. Therefore her friend may request a higher pay than $100. The third uncertainty could be the game could get rained out and she will make no money. Assuming any of these...

...A. Formulate a linear programming model for Julia that will help you to advise her if she should lease the booth.
Let, X1 =No. of pizza slices,
X2 =No. of hot dogs,
X3 = No. of barbeque sandwiches
* Objective function co-efficient:
The objective is to maximize total profit. Profit is calculated for each variable by subtracting cost from the selling price.
For Pizza slice, Cost/slice=$4.5/6=$0.75
| X1 | X2 | X3 |
SP | $1.50 | $1.60 | $2.25 |
-Cost | 0.75 |...

...Julia’sFoodBooth Case Problem
MAT 540- Quantitative Methods
February 23, 2013
(A) Formulate and solve an L.P. model for this case.
The following variables were be used:
X1 = Slices of Pizza
X2 = Hot Dogs
X3 = BBQ Sandwiches
The objective is to maximize profit.
maximize Z= 0 .75X1+1.05X2+1.35X3
Subject to:
0.75X1+1.05X2+1.35X3≤1,500 (Budget)
24X1+16X2+25X3≤55,296in2 (Oven Space)
X1≥X2+X3
X2X3≥2.0
X1, X2, X3≥0
(B) Evaluate...

...Julia’sFoodBooth Case Problem
Assignment 3
Max Z =Profit1x1+ Profit2x2+ Profit3x3
A - Formulation of the LP model
x1 - number of pizza slice
x2 - number of hot dogs
x3 - number of barbecue sandwiches
Constraints
Cost
Maximum fund available for food = $1500
Cost per pizza $6 ÷08 (slices) = $0.75
Cost for a hot dog = $0.45
Cost for a barbecue sandwich = $0.90
Constraint: 0.75x1+0.45x2+0.90x3 ≤1500
Oven space
Space...

...Complete the "Julia'sFoodBooth" case problem on page 109 of the text. Address each of the issues A - D according the instructions given.
(A) Formulate and solve an L.P. model for this case.
(B) Evaluate the prospect of borrowing money before the first game.
(C) Evaluate the prospect of paying a friend $100/game to assist.
(D) Analyze the impact of uncertainties on the model.
The assignment will be graded using the associated...

...(A) Formulate and solve an L.P. model for this case
Variable Food Cooking Area
x1 Pizza Slice 24in sq
x2 Hot Dogs 16in sq
x3 BBQ Sandwiches 25in sq
*The oven space required for a pizza slice is calculated by dividing the total area arequired for a whole pizza by the number of slices in a pizza 14 x 14 = 196 in2, by 8, or approximately 24 in2 per slice. The total space available is the dimension of a shelf, 36 in. x 48 in. = 1,728 in2, multiplied by 16 shelves, 27,648...

...pizza, 1250 hot dogs and no barbecue sandwiches.
Maximum Profit = $2250.
|Maximum Profit 2250
Booth Rent per game 1000
Warming Oven 600 for total of 6 games 600/6 =100 for 1 game
2250-1000-100=1150 is the profit after paying all the expenses.
*I think she should lease the booth
B) the amount of Borrowing money that will increase her profit is defined by the upper limit...