This website uses cookies to ensure you have the best experience. Learn more

Julia's Booth Essay

944 words - 4 pages

Julia is a senior at Tech, and she’s investigating different ways to finance her final year at school. She is considering leasing a food booth outside the Tech stadium at home football games. Tech sells out every home game, and Julia knows, from attending the games herself, that everyone eats a lot of food. She has to pay $1,000 per game for a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would ...view middle of the document...

Julia has talked to some students and vendors who have sold food at previous football games at Tech as well as at other universities. From this she has discovered that she can expect to sell at least as many slices of pizza as hot dogs and barbecue sandwiches combined. She also anticipates that she will probably sell at least twice as many hot dogs as barbecue sandwiches. She believes that she will sell everything she can stock and develop a customer base for the season if she follows these general guidelines for demand.

If Julia clears at least $1,000 in profit for each game after paying all her expenses, she believes it will be worth leasing the booth.

A. Formulate a linear programming model for Julia that will help you to advise her if she should lease the booth. Formulate the model for the first home game. Explain how you derived the profit function and constraints and show any calculations that allow you to arrive at those equations.
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 |$0.50 |$1.00 |
|Profit |$0.75 |$1.10 |$1.25 |

Maximize Total profit Z = $0.75X1 + 1.10X2 +1.25X3

▪ Constraints:

1. Budget constraint:
0.75X1+0.50X2+1.00X3= 2.0 (at least twice as many hot dogs as barbeque sandwiches)
This constraint can be rewritten as:
X2-2X3>=0
X1, X2, X3 >= 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 barbeque sandwiches)
X1, X2, X3 >= 0 (Non negativity constraint)

B. Solve the linear programming model using a computer for Julia that will help you advise her if she should lease the booth. In this solution, determine the number of pizza slices, hot dogs and barbecue sandwiches she should sell at each game. Also determine the revenues, cost and profit; and do an analysis of how much money she actually will make each game given the expenses of each game.

Do an analysis of the profit solution and what impact it has on Julia’s ability to have sufficient funds for the next home game to purchase and prepare the food. What would you recommend to Julia?
Following table shows the Excel solver solution for the model:
|Target Cell (Max) | | ...

Other Papers Like Julia's Booth

Freedom And Responsibility Essay

2141 words - 9 pages Built within the Constitution of the United States are specifically defined freedoms that are guaranteed to all citizens. Conversely, with every constitutional freedom there comes a corresponding responsibility. On September 25, 1789, the state legislature’s twelve proposed amendments were transmitted by congress, the first two dealing with congressional representation and congressional pay. The following numbers three through twelve were

Hate Crime Laws Essay

2348 words - 10 pages On June 7, 1998, 49-year-old James Byrd Jr. of Texas accepted a ride from three white men, who then beat him severely, urinated on him, chained him by his ankles to the back of their pick-up truck, dragged him for three miles into the countryside, and dumped his corpse in front of an African-American cemetery (Graczyk). A little over a year later, a jury sentenced ring leader John King to death by lethal injection (“Man Executed for Dragging

Rational Emotional Behavior Therapy Case Study Conceptualization And Treatment Plan

2140 words - 9 pages Rational Emotional Behavior Therapy Case Study of Sarah: A Conceptualization and Treatment Plan Rational emotive behavior therapy, REBT, was developed by Albert Ellis and holds the central belief that the events in our lives do not cause our disturbances but that they are instead caused by our view of the events (Murdock, 2009). Murdock (2009) states that “people are seen as responsible for their behavior” (p. 279) but, because they are

Holidays In Albania

1636 words - 7 pages Have you ever thought about having exciting and incredibly cheap vacations? Albania might be the right choice. According to My Travel Guide, Albania is ranked the fourth among ten places worth visiting in Eastern Europe (“Top 10 Eastern European Destinations”). One can encounter three kinds of vacations in this Mediterranean country: winter, summer, and cultural. The ideal places to spend your winter vacations are the Albanian Alps. They are

A Heart Of Darkness

1748 words - 7 pages In this short story, there are frequent significant subject and ideas that make the story, "A Heart of Darkness," by Joseph Conrad, and haunting novel. The main theme is absolute white power over the natives. The theme validates the corruption, and the dependence caused by the white people as they took over the Congo. White men were giving all the power; they had no self-control, and in the end they did not use wisely. The white men became

The Aspects Of Vulnerability Among The Exploited In Medical Research

2287 words - 10 pages Essentially, everyone is in some state of vulnerability. However, some of us are more susceptible to harm due to our vulnerabilities. The susceptible are the individuals with the greatest risk. These individuals risk the loss of their autonomy, and maybe even their lives. Vulnerable populations can be found in every subset of society. However, as previously mentioned, there are some vulnerable populations that are at an even greater risk than

The Hitchhiker’S Guide To The Galaxy

1171 words - 5 pages The Hitchhiker’s Guide to the Galaxy As the human race makes life-changing discoveries, it is made apparent that there is always more to learn as the universe, instead of becoming familiar, is becoming absurd. The Hitchhiker’s Guide to the Galaxy, written by Douglas Adams, as well as the 2005 film adaption, portrays absurdity to be an all-encompassing system in the universe. Through the introduction and attempt to understand lack of reason, the

The Ford Motor Company Wage Increase Of 1914 And The Theory Of Incentives And Efficiency Wages

1252 words - 6 pages ‘It’s not the employer who pays the wages. Employers only handle the money. It is the customer who pays the wages’ (Henry Ford, cited in Johnson and Weinstein 2004, p. 2). When the Ford Motor Company announced that it would more than double the wages of its workers in January 1914 to a ‘five-dollar day’ minimum, was this a contradiction to Henry Ford’s statement? If customers are actually the ultimate payers of wages, then more than

Historical Analysis Of The Economical Breakthroughs Of The Industrial Revolution

1396 words - 6 pages A Historical Analysis of the Economical Breakthroughs of the Industrial Revolution During the Industrial Revolution, many elements of society experienced huge breakthroughs that would change the way they functioned forever. Economics were definitely one of them. With many new inventions and many factories appearing, many, many, more resources were being created than ever before. Also, all of the revenue from these resources was being given to

Leadership Portrayed in Monologue from Shakespeare’s Henry V

1214 words - 5 pages Leadership is defined as a socially constructed process and which also affect organizational future outcomes. Leader is someone at high position who have overall duty for an organization, she or he decide what to do and the way how to achieve it. (Carter and Greer, 2013)The role of leader is extremely important for an organization, leader use their own power to influence the followers though many different ways such as motivation in order to

Cuba Civil Rights

1906 words - 8 pages Picture a country that has limits on how much you can make random government imprisonments and more what do you do. That is the situation for the eleven million seventy-five thousand two hundred forty-four people of Cuba since the takeover of Fidel Castro. The US is opposed to Castro taking control of Cuba. Castro managed to ease the United States nerves when he said that Cuba was against all forms of communism. According to Lana Wylie the Union

Related Essays

Case Problem Julia's Food Booth Essay

793 words - 4 pages Assignment #3 Case Problem Julia's Food Booth A: Formulation of the LP Model X1(Pizza), X2(hotdogs), X3(barbecue sandwiches) Constraints: Cost: Maximum fund available for the purchase = $1500 Cost per pizza slice = $6 (get 8 slices) =6/8 = $0.75 Cost for a hotdog = $.45 Cost for a barbecue sandwich = $.90 Constraint: 0.75X1 + 0.45X2+ 0.90(X3) ≤ 1500 Oven space: Space available = 3 x 4 x 16 = 192 sq. feet

Mat540 Week 8 Assignment 1 Case Problem "Julia's Food Booth

1462 words - 6 pages ://workbank247.com/q/mat-540-week-8-assignment-1-linear-programming-cas/4572 http://workbank247.com/q/mat-540-week-8-assignment-1-linear-programming-cas/4572 MAT540 Week 8 Assignment Assignment #1: Case Problem "Julia's Food Booth" Complete the "Julia's Food Booth" 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

Julia's Food Booth Essay

706 words - 3 pages Assignment 3 Julia’s food booth A).Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth. X1=number of cheese pizza slices X2=number of hot dogs X3=number of BBQ sandwiches Julia Food Booth | | | | | | | | | | | | | | | | Products | Pizza X1 | Hot Dog X2 | Barb Sand X3 | | | | | Profit per unit | $0.75 | $1.05 | $1.35 | Resources | Constraints

Julia's Food Booth Essay

2741 words - 11 pages Running head: JULIA’S FOOD BOOTH 1 Case Study Julia’s Food Booth Susan Dawson Strayer University JULIA’S FOOD BOOTH 2 Case Study: Julia’s Food Booth In this case study, we are asked to determine if Julia Robertson, a senior at Tech, should