This paper will display findings of data constructed to aid Julia in deciding if she should open a food booth during the football season at Tech High School. The team at Tech High plays 6 home games during the regular season, during which she would be responsible for providing food for the booth, rent for the cost of the booth, and an oven to prepare the food. Julia concluded that there are 2 constraints that she must consider: 1) the cost of the food & 2) the size of the oven. In addition she believes that she should be able to sell at least the same amount of hot dogs and bbq sandwiches to pizza, and also double the amount of hot dogs to bbq sandwiches. Considering these constraints the linear programming model shows Julia what her profit should be, it will also help Julia decide if she should take out a loan prior to the game opener to successfully operate the booth. It will help here conclude the amount of product she will need to sell to maximize her profit. After reviewing the model, Julia’s will have to decide 3 different situations that could impact her business. First should she take out a loan, and why? Second, Should she hire someone to help and why? And third what uncertainties could exist and how will they affect the business?
Linear Programming Model for Julia’s Food Booth
DECISION VARIABLES Hot dogs = x1 Pizza= x2 Barbeque Sandwiches=x3
OBJECTIVE FUNCTION:
Maximize Z= $1.05x1+$0.75x2+$1.35x3
Where Z= Profit from selling hot dogs, pizza and barbeque sandwiches at the home football games.
MODEL CONSTRAINTS
SUBJECT TO:
First constraint is the cost of all products that she plans to sell without spending more than $1500.00
0.45x1+$0.75x2+$0.90x3≤$1500.00
Second constraint is the amount of space she has in the oven to keep her food hot. The food consists of hot dogs that measure 16 square inch; pizza is 14 inches and barbecue sandwiches that measure 25 square inches. The oven has sixteen shelves that measure 3 feet by 4 feet.
36x1+14x2+50x3≤27648
The third constraint is that Julia believes that she will sell at least the same amount of hot dogs and barbeque sandwiches as pizza. X1+x3≥x2 The fourth constraint is the she will sell twice the amount of hot dogs as barbeque sandwiches. 2x1≥x3
The last constraint is the nonnegative constraint. X1, x2, x3≥0

Should Julia take out a loan prior to the first game?
Julia should borrow money prior to opening the stand. She still has other expenses such as the $1000 retail fee for the stand and the rental fee for the oven. She needs $1600 prior to the first game. She has to pay this up front and being that she only has $1500 for food she does not have enough money to pay for the booth or the oven and the cost of any permits that she would need to get, and insurance. It would be advisable for Julia to get insurance to protect herself from any lawsuits that could occur. If someone gets sick on her food, she could not only loss the money that she put out for the food, booth and oven, but they could go after anything that she owns. She could also have to pay fines to the government for not following correct procedures, cleanliness of the booth clean and not keeping the food at the correct temperature.
Should Julia hire someone to help?
There are many reasons to hire someone to help out with the stand, safety, being able to serve more people quicker, keeping the booth clean. Safety is a major concern having two people is also better than having only one person, this way there is always someone there to help encase of a problem. People do not want to wait to be served with two people they could serve twice the amount of customers during the busiest time of the day. The last reason with two people it will take half the time open and close the booth.
Safety is always good reason to have two people working together. Not only the safety of Julia but the safety of her customers to. Having more than one person at the booth will deter anyone from trying to rob the booth or to accuse Julia of doing something that she did not do. With two people inside the both there would always be a witness to everything that happens from the time the booth is opened to the time it is closed. If Julia or the person she hires gets hurt or sick the booth can still remain open because here will be someone to work the booth. The second reason for having two people work the booth is that two people can serve much quicker that one can serve. People do not want to wait in long lines to get their food. With two people waiting on customers, the lines will be short and the customers will leave happier. This could increase the amount of sales in the limited of time that they have to serve their customers. It could also possible increase the amount of customers that they serve and increase her profits.
The Impact of Uncertainties of Julia’s Food Booth:
Uncertainties will always have an impact on businesses of any kind, that part is for certain when starting a business the person must consider the demographics of that area and the competition. Julia’s industry will be greatly impacted by the weather, the successes and or failure of the team, and the type of support that is lent to the team by the neighboring community. Another uncertainty maybe the type of food and beverages that is regulated to be sold at the school. Julia needs to make it desirable for customers to purchase from her booth. The first way of making the food she sells desirable is to offer something that no other booth offers. An example of this is the pizza, she should advertise the name of the pizza shop that she has purchased the pizza from. Those people that like that specific pizza shops’ pizza will purposely purchase from her stand. The hot dogs she should advertise the brand name of the hot dog she is serving, this way people know what type of hot dog they are eating. Lastly she should find out if she is the only booth that is selling barbeque sandwiches and then advertise that if anyone one wants homemade barbeque sandwiches they must come to her booth. Lastly she must make sure her food looks appetizing. This is accomplished by keeping the food at the correct temperature and not letting it dried out, she should not preassemble the hot dogs or the barbeque sandwiches. If she does preassemble the hot dogs or the barbeque sandwiches, because the rolls will not be as fresh looking and they will become soggy. She needs to purchase the rolls the morning of the game so that they will be fresh, and condiments should be individually wrapped. This will save her money, and less waste. The reason it will save her money those not opened can be used for the next game. Also they are cleaner than large bottles that have been touched by everyone that has used it. They also cannot be saved for the next game. People are more likely to purchase food quicker from a clean booth then from a messy booth.