Since the booth costs $1000 to lease per game, and the oven is $100 per game, then Julia's overall profit is, P = 2250 - 1100 = $1150
Hence it is worth leasing the booth.

b) The shadow price for the budget is 1.50 and allowable increase is 138.4 Therefore, each dollar added to the budget will increase profit by $1.50 with a maximum increase of $138.40. Therefore the maximum amount Julia can borrow is $138.40 which will produce an additional profit of 138.4 x 1.5 = $207.60. Space is the factor which constrains Julia from borrowing more money.

c)
If Julia feels she needs help than $100 would still keep her above the $1000 dollar profit margin. Therefore, if Julia cannot handle the work load alone it would be advisable for her to hire some help. If she is able to handle the work load herself, then she could keep that $100 for herself.

d)
The biggest uncertainty in this model is demand. Although Julia may have a good idea of what people will buy and not buy during the game, the demand can shift from game to game and is not always constant. Hence, if the demand changes then the solution to the linear programming will change, and may affect her ability to make a profit greater than $1000.

...JuliaFoodBooth
Introduction
Julia is planning to lease a foodbooth outside the Tech Stadium at Home Football games to finance her last year education with all the games go sold out. The rent for the booth per game is $ 1000.
Julia will sell slices of Cheese Pizza, Hot Dogs and Barbecue Sandwiches which are acclaimed to be the most popular so these are the three...

...
Julia’s FoodBooth
(A) Formulate and solve an LP model for this case
The objective here is to maximize the profit. Profit is calculated for each variable by subtracting cost from the selling price. The decision variables used are X1 for pizza slices, X2 for hotdog, and X3 for BBQ sandwich.
X1 (pizza)
X2 (hotdog)
X3 (sandwich)
Sales Price
1.50
1.50
2.25
Cost
0.75
0.45
0.90
Profit
0.75
1.05
1.35
*For Pizza Slice: Cost/Slice =...

...Julia’s FoodBooth. Parts A thru C.
Please provide linear programming model, graphical solution, sensitivity report, and answers to questions A thru C. (Problem on page 2)
[pic]
[pic]
A) Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth.
Let, X1 =No of pizza slices,
X2 =No of hot dogs,
X3 = barbeque sandwiches...

...Name
Professor
Course
Date
JuliaFoodBooth
QUESTION 1:
Let:
The cheese pizza slices be X1
The hotdogs be X2
The sandwiches be X3
Profit = selling price-cost price
1. Profit on slices of pizza
50 - 0.75 = $ 0.75
2. Profit on hot dog
50 -0.45 = $ 1.05
3. Profit on sandwich
2. 25 - 0.90 = $ 1.35
0.75X1 + 1.05X2 + 1.35X3 = z
He has a budget of $1500
Each slice of pizza $6/8 = $ 0.75
Hotdog = $ 0.45
Sandwich = $ 0.90
So:
0.75X1...

...(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...

...
JuliaBooth Case Study
Angela Walker
June, 06, 2013
Dr. Carl Tucker field
In this case study, I must create a linear programming model for Julia that will help her to decide whether or not she need to lease a booth. The three products or variable we must consider for this booth are pizza, hotdogs, and barbecue sandwiches. In this model, x 1 equal the number of pizza slices Julia should purchase, x2 equals...

...Food in Your Life
Topic Review
Complete topic review. Put the answers in a different color.
List the 4 key behaviors for wellness.
1. Positive food choices
2. Physically active
3. Managing stress
4. Alcohol/drug free
Explain the role of science in food.
Science tells you what nutrients do in your body and how nutrients work together
Explain why people who enjoy their food may absorb more nutrients from it.
The brain...

530 Words |
3 Pages

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