...Assignment #3: 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. There are three products or variables in this problem that we must consider for purchase. X1 = number of pizza slices Julia should purchase X2 = number of hotdogs Julia should purchase X3 = number of barbecue sandwiches Julia should purchase. The reason why Julia is having a booth is to make some money. She wants to maximize her profit that she can get from selling the hotdogs, pizza, and barbeque sandwiches. The first thing to do is find the profit that Julia will make per Item. To find that per Item price, the cost of the Item will be subtracted from the selling price. Pizza: Julia can buy a pizza that contains 8 slices for 6$. That means each slice of pizza will cost her $0.75. She plans to sell each piece for 1.50. $1.50-$0.75= $0.75 profit Hot dog: $1.50 - $0.45 = $1.05 profit Barbecue Sandwiches: $2.25 - $0.90 = $1.35 profit The objective function can now be written since we have found the potential profit of each food item. The objective of this function is to maximize Z(profit). Z= $0.75x1 + $1.05x2 + $1.35X3 The Budget is one thing that has to be taken into consideration. Julia has $1,500 on hand to purchase and prepare food for the first home game. A constraint must be...
Words: 1083 - Pages: 5
...Week 8 Assignment 1 Keila Stinson Strayer University MAT 540 Dr. Negash Begashaw March 2, 2015 In the case study regarding Julia’s food booth a solution needs to be determined as to if investing in a booth to sell food during Tech football games is a sound investment. Julia is considering leasing a booth to sell food outside of Tech stadium at home football games to generate revenue in order to finance her final year at the school. After all of her expenses are paid Julia wants to bring in a profit of $ 1,000 per game. If she can accomplish this then she feels that it will be worth the money to invest in a booth. The fixed cost associated with leasing the booth would include $1,000 per game for booth rental and $600 to lease a warming oven for the six home football games. Julia’s has $1,500 available cash, which she will use to purchase and prepare the food for the first game. For the remaining home games she plans on using funds generated from the previous game to purchase her ingredients. In order to help Julia determine if she should lease a booth a linear programming model should be formulated and solved. The first step in setting up the model is to determine the variables. The variables for this case include: x1 =Pizza, x2 = Hotdogs, and x3= BBQ sandwiches. These variables are the three food choices Julia wishes to sell at her booth. Julia’s objective function in this case is to maximize profit (maximize Z). Julia’s objective function in this case equates...
Words: 1055 - Pages: 5
...Assignment #3: Case Problem “Julia’s Food Booth” La-Tia Jackson MAT 540 Dr. Albert Yin May 26, 2013 1. Formulate and solve an L.P. model for this case. There are three products or variables in this problem that we must consider for purchase. X1 = number of pizza slices Julia should purchase X2 = number of hotdogs Julia should purchase X3 = number of barbecue sandwiches Julia should purchase. Julia decided to have a food booth in order to make some money. Her goal is to maximize the profit that she can get from selling the hotdogs, pizza, and barbeque sandwiches that she plans on selling. The first thing to do is find the profit that Julia will make per Item. To find that per Item price, the cost of the item will be subtracted from the selling price. Pizza: Julia can buy a pizza that contains 8 slices for $6. That means each slice of pizza will cost her $0.75. She plans to sell each piece for 1.50. $1.50-$0.75= $0.75 profit Hot dog: $1.50 - $0.45 = $1.05 profit Barbecue Sandwiches: $2.25 - $0.90 = $1.35 profit The objective function can now be written since we have found the potential profit of each food item. The objective of this function is to maximize Z (profit). Z= $0.75x1 + $1.05x2 + $1.35X3 Budget is the one thing that has to be taken into consideration. Julia has $1,500 on hand to purchase and prepare food for the first home game. A constraint must be formed for the budget. Cost of each item and money available is what is known, so it is easy to form the...
Words: 1376 - Pages: 6
...WK 3 Assignment 1 – JET Copies Case Problem MAT 540 WK 3 Homework Chapter 14 MAT 540 WK 4 Assignment 2 – Internet Field Trip MAT 540 WK 4 Homework Chapter 15 MAT 540 WK 5 Midterm Exam MAT 540 WK 6 Homework Chapter 2 MAT 540 WK 6 Quiz 3 Chapter 2 MAT 540 WK 7 Assignment 3 Case Problem – Julia’s Food Booth MAT 540 WK 7 Homework Chapter 3 MAT 540 WK 8 Homework Chapter 4 MAT 540 WK 8 Quiz 4 Chapter 4 MAT 540 WK 9 Homework Chapter 5 MAT 540 WK 9 Quiz 5 Chapter 9 MAT 540 WK 10 Assignment 4 Case Problem – Stateline Shipping and Transport Company MAT 540 WK 10 Homework Chapter 6 MAT 540 WK 11 Final Exam Course Home Work aims to provide quality study notes and tutorials to the students of MAT 540 Entire Course Latest Strayer in order to ace their studies. MAT 540 ENTIRE COURSE LATEST STRAYER To purchase this visit following link: https://coursehomework.com/product/mat-540-entire-course-latest-strayer/ Contact us at: HELP@COURSEHOMEWORK.COM MAT 540 ENTIRE COURSE LATEST STRAYER MAT 540 WK 1 Homework Chapter 1,11 MAT 540 WK 1 Quiz 1 Chapter 1,11 MAT 540 WK 2 Homework Chapter 12 MAT 540 WK 2 Quiz 2 Chapter 11,12 MAT 540 WK 3 Assignment 1 – JET Copies Case Problem MAT 540 WK 3 Homework Chapter 14 MAT 540 WK 4 Assignment 2 – Internet Field Trip MAT 540 WK 4 Homework Chapter 15 MAT 540 WK 5 Midterm Exam MAT 540 WK 6 Homework Chapter 2 MAT 540 WK 6 Quiz 3 Chapter 2 MAT 540 WK 7 Assignment 3 Case Problem – Julia’s Food Booth MAT 540 WK 7 Homework Chapter 3 MAT...
Words: 667 - Pages: 3
...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 | | | | Avail | Usage | Left Over | | Budget (i) | $0.75 | $0.45 | $0.90 | 1500 | 1500 | 0 | | Oven Space (ii) | 24 | 16 | 25 | 55,296 | 50000 | 5296 | | Demand (iii) | 1 | -1 | -1 | 0 | -2.3E-13 | 2.27E-13 | | Demand (iv) | 0 | 1 | -2 | 0 | 1250 | -1250 | | | | | | | | | | | | | | | | | | Production | | | | | | | | Pizza | 1250 | | | | | | | Hotdogs | 1250 | | | | | | | Barbecue | 0 | | | | | | | Profit | 2250 | | | | | | | B). If Julia were to borrow money from a friend before the first game to purchase more ingredients, could she increase her profit? If so, how much should she borrow and how much additional profit would she make? What factor constrains her from borrowing even more money than this amount? Yes, Julia could increase her profit if she borrowed from a friend. The shadow price is 1.50 for each additional dollar that she earns. This was found by looking at the sensitivity analysis report from the computer solution output. The shadow...
Words: 685 - Pages: 3
...Assignment #3: 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. See Excel worksheet. (B) Evaluate the prospect of borrowing money before the first game. I would suggest that Julia consider borrowing money before the first game to open up her food booth. According to the first constraint, she is subject to a $1,500 budget with a potential to make a profit of $2,250 if she were to sell all her pizza and hot dogs. This result yields a profit of $750 or 50%. Even if no sales were made, the potential is high, considering the opportunity. Plus, I am sure that a small initial investment is not detrimental to her personal funds, to where if things did not go as planned, she could recover the funds. (C) Evaluate the prospect of paying a friend $100/game to assist. I would suggest that Julia consult a friend for $100/game to assist in her food booth. After running a break-even analysis (see Excel), holding all things constant, where she only sells pizza and hot dogs, she would have to sell 67 slices of pizza and 48 hotdogs to break-even after paying her friend $100. This does not seem too farfetched, considering her maximum sales, given these constraints, is 1,250 slices of pizza and 1,250 hot dogs, only about 5% and 4% of maximum sales, respectively. On top of that, Julia may need the help to meet...
Words: 474 - Pages: 2
...Case Problem Julia's Food Booth 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 = 192 x 12 x 12 =27648 sq. inches The oven will be refilled before half time- 27648 x 2 = 55296 Space required for pizza = 14 x 14 = 196 sq. inches Space required for pizza slice = 196/ 8 = 24.50 sq. inches Space required for a hotdog=16 Space required for a barbecue sandwich = 25 Constraint: 24.50 (X1) + 16 (X2) + 25 (X3) ≤ 55296 Constraint: Julia can sell at least as many slices of pizza(X1) as hot dogs(x2) and barbecue sandwiches (X3) combined Constraint: X1 ≥ X2 + X3 = X1 - X2 - X3 ≥ 0 Julia can sell at least twice as many hot dogs as barbecue sandwiches X2/X3 ≥ 2 = X2 ≥2 X3 =X2 - 2 X3 ≥ 0 X1, X2, X3 >= 0 (Non negativity constraint) Objective Function (Maximize Profit): Profit =Sell- Cost Profit function: Z = 0.75 X1 + 1.05 X2 + 1.35 X3 LPP Model: Maximize Z = 0.75 X1 + 1.05 X2 + 1.35 X3 Subject to 24.5 X1 + 16 X2 + 25 X3 ≤ 55296 0.75 X1 + 0.45 X2 + 0.90 X3 ≤ 1500 X1 - X2 - X3 ≥ 0 X2 - 2 X3 ≥ 0 X1≥ 0, X2≥ 0 and X3 ≥0 ...
Words: 338 - Pages: 2
...Assignment 3: Julia’s Food Booth Professor Hines Quantitative Methods December 9, 2012 Julia Robertson who is a senior at Tech, she has been investigating different ways to finance her final year at school. She is considering leasing a booth at home games where she will be selling hotdogs, pizzas, BBQ sandwiches. In this report I will formulate and solve and L.P model, Evaluate the prospect of borrowing money before the first game, Evaluate the prospect of paying a friend $100/ game to assist, and finally analyze the impact of uncertainties on the model. In the Linear program, x1 will represent pizza, x2 will represent hotdogs, and x3 will represent BBQ. My first constraint in the Linear program was Budget. The maximum fund available for Julia purchase is $1500. The cost for pizza is that each pizza will cost her $6 and will include 8 slices so the calculation I did was 6/8=0.75 for the cost per pizza. The cost for a hotdog was .45 and for the cost for a BBQ sandwich was .90 which both were giving in the book. The constraint was 0.75x1+0.45x2+0.90x3< than equal to 1500. The second constraint was the Oven Space. The oven has 16 shelves, and each shelf is 3 feet by 4 feet. Julia has plans to fill the oven with the three food items before the game and then again before half time. The 3 feet by 4 feet I converted to square inches 3ft converted to square inches give me 36 and 4ft converted to square inches give me 48 and I just multiply them and it give me 1728...
Words: 953 - Pages: 4
...234323.htm If You Face Any Problem E- Mail Us At JohnMate1122@gmail.com WEEK 1 Quiz 1 Set 1(20 Questions and Answers) Quiz 1 Set 2 (20 Questions and Answers) Quiz 1 Set 3 (20 Questions and Answers) WEEK 2 Discussion Question 1: Decision Tree Discussion Question 2: The Science of Probability Quiz 2 Set 1 (20 Questions and Answers) Quiz 2 Set 2 (20 Questions and Answers) WEEK 3 Assignment 1, Jet Copier Case Problem Discussion Question 1: Pseudorandom Discussion Question 2: Statistical Analysis WEEK 4 Assignment 2, Internet Field Trip Presentation Discussion Question 1: Forecasting Discussion Question 2: Forecasting Models WEEK 5 Midterm Exam 1 (40 Questions and Answers) Midterm Exam 2 (40 Questions and Answers) Midterm Exam 3 (40 Questions and Answers) Midterm Exam 4 (40 Questions and Answers) WEEK 6 Discussion Question 1: The Linear programming Model Discussion Question 2: The LP Model Discussion Question 3: Graphical Method Discussion Question 4: Minimization model Quiz 3 Set 1 (20 Questions and Answers) Quiz 3 Set 2 (20 Questions and Answers) Quiz 3 Set 3 (20 Questions and Answers) WEEK 7 Assignment 3, Case Problem, Julia's Food Booth Discussion Question 1: Shadow Price Discussion Question 2: Sensitivity Analysis Discussion Question 3: LP model and optimal solution. WEEK 8 Discussion Question 1: Objective Function Discussion Question 2: Applications of Linear Programming Quiz 4 Set 1 (20 Questions and Answers) ...
Words: 388 - Pages: 2
...http://content.yudu.com/Library/A2nagu/SocialPsychologyAron/resources/3.htm Chapter 2 Methodology: How Social Psychologists Do Research Total Assessment Guide (T.A.G.) |Topic |Question |Factual |Conceptual |Applied | | |Type | | | | | |Multiple Choice |1 |2 | | |Introduction | | | | | | |Essay | | | | | |Multiple Choice |6,19,21 |9,10,11,12,13,14,15,16,18 |3,4,5,7,8,17,20 | |Social Psychology: An | | | | | |Empirical Science | | | | | | |Essay |240 | | | | |Multiple Choice |24,28,36,41,54,59,73,74,75, |27,29,31,33,34,35...
Words: 19309 - Pages: 78
