...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
...Case Problem” Julia’s Food Booth” Julia’s objective is to maximize total profit; the total profit is the summary of the individual profits gained from each pizza slice, hot dog, and barbeque sandwich. I am going to estimate the profit for each item as difference between total revenue and total cost of the item. Total revenue Total cost Profit Pizza slice $1.50 $6/8 slices = $0.75 $0.75 Hot dog $1.50 $0.45 $1.05 Barbeque sandwich $2.25 $0.90 $1.35 x1 - number of pizza slices x2 - number of hot dogs x3 - number of barbeque sandwiches The profit function: maximize Z = $0.75* x1 + $1.05 * x2 + $1.35 * x3 There Z = total profit per game. The oven size constraint is formulated as 16 shelves 3*4 feet each which will be filled twice for each game, so the maximum possible size of the stove is: (((12*3)*(12*4))*16)*2 = 55,296 square inches. Estimate for each item in regards to the space: Pizza slice (14*14)/8 = 24.5 square inches (keeping in mind that she will keep whole pizza warm) Hot dog ...
Words: 941 - Pages: 4
...Assignment #3: Case Problem "Julia's Food Booth" Complete the "Julia's Food Booth" case problem on page 109 of the text. Address each of the issues A - D according the instructions given. (A) Formulate and solve an L.P. model for this case. There are three products or variables in this problem that we must consider for purchase. X1 = number of pizza slices Julia should purchase X2 = number of hotdogs Julia should purchase X3 = number of barbecue sandwiches Julia should purchase. The reason why Julia is having a booth is to make some money. She wants to maximize her profit that she can get from selling the hotdogs, pizza, and barbeque sandwiches. The first thing to do is find the profit that Julia will make per Item. To find that per Item price, the cost of the Item will be subtracted from the selling price. Pizza: Julia can buy a pizza that contains 8 slices for 6$. 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
...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
...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 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 ...
Words: 667 - Pages: 3
...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
...Julia’s Food Booth MAT 540 February 22, 2014 Julia’s Food Booth Case Problem (A) Formulate and solve an LP model. Variables: X1 = pizza slices, X2 = hot dogs, and X3 = barbeque sandwiches Maximize Z = ($0.75 X1) + ($1.05 X2) + ($1.35 X3) Subject to: $0.75x1+ $0.45x2 + $0.90x3 ≤ $1,500 24x1 + 16x2 +25x3 ≤ 55.296in of oven space X1 ≥ x2 + x3 (change to –x1 + x2 + x3 ≤ 0 for constraint) X2/x3 ≥ 0 Solution: X1 = 1250 pizza slices X2 = 1250 hot dogs X3 = 0 barbeque sandwiches Z = $2,250 (B) Evaluate the prospect of borrowing money before the first game. Yes, I do believe Julia would increase her profit if she borrowed money. The shadow price is $1.50 for each additional dollar she earns. The upper limit in the model that is given is $1,658.88. This means that Julia can borrow $158.88 from her friend, which gives her an extra profit of $238.32 or a total profit of $2,488.32. (C) Evaluate the prospect of paying a friend $100/game to assist. According to the information presented in (A) and (B), I do believe Julia should hire her friend for $100 per game. It would be difficult for Julia to prepare all of the food needed within the amount of time to reach her goal, so she will need the additional help. If she is borrowing extra money from another friend, she would be able to pay the help for the time spent helping at the game because the $158.88 she borrowed will allow her to do so. (D) Analyze the impact of uncertainties on the model. An impact of...
Words: 448 - Pages: 2
...Julia is a student seeking a way in which to subsidize her education. She has decided to rent a food booth to sell items at home football games. Having decided to sell pizza, hot dogs, and BBQ sandwiches, Julia needs to decide specifically which items to sell, and what prices she should charge to maximize the profit on her initial investment of $1500. Julia will be selling her products twice per game and decides to sell pizza slices and hot dogs for $1.50, and BBQ sandwiches for $2.25. The Time constraints prevents her from both preparing and selling her food; as such, she has decided to prepare the hot dogs and BBQ sandwiches prior to each game and have the pizzas delivered. To keep the food warm Julia rents an oven. Julia needs to clear at least $1000 in profit to make renting the booth a worthy investment. To begin analyzing this investment problem we must first calculate the profit made from hot dogs and BBQ sandwiches in order to formulate the linear model. Calculating Cost, Revenues, and Profit Profit = Income - Cost (Pizza - X1) - $1.50 - .75 = $.75 (Hot Dog - X2) - $1.50 - .45 = $1.05 (BBQ - X3) - $2.25 - .90 = $1.35 Model Summary Maximize Z = .75X1 + 1.05X2 + 1.35X3 where Z = profit from products sold subject to the following constraints .75X1 + .45X2 + 09X3 ≤ 1500 - Budget 24X1 + 16X2 + 25X3 ≤ 55296 - Space in oven (per sq. in.) X1 - X2 - X3 ≥ 0 - At least as many pizza slices as Hot Dogs and BBQ Sandwiches X2 - 2X3 ≥ 0 - At least twice...
Words: 971 - Pages: 4
...Case 3 - Julia's Food Booth | | | | | | | | | | | | | | | | | |Constraints: | | | |Available |Usage |Left over | | |Budget ($) |0.75 |0.45 |0.90 | 1,500 | 1,500.00 |0 | | |Oven space (sq. in.) |24 |16 |25 | 55,296 | 50,000.00 |5296 | | |Demand |1 |-1 |-1 |0 | - |0 | | |Demand |0 |1 |-2 |0 | 1,250.00 |-1250 | | | | | | | | | | | |Adjustable Cells | | | | | | | | | |Final |Reduced |Objective |Allowable |Allowable | | |Cell |Name |Value |Cost |Coefficient |Increase |Decrease ...
Words: 273 - Pages: 2
...Work Then Click The Link Below , Instant Download http://acehomework.com/MAT-540-Quantitative-Methods-Week-1-11-Complete-Course-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...
Words: 388 - Pages: 2
...Prologue Florence, 1283 The poet stood next to the bridge and watched as the young woman approached. The world ground to a near standstill as he remarked her wide, dark eyes and elegantly curled brown hair. At first he didn’t recognize her. She was breathtakingly beautiful, her movements sure and graceful. Yet there was something about her face and figure that reminded him of the girl he’d fallen in love with long ago. They’d gone their separate ways, and he had always mourned her, his angel, his muse, his beloved Beatrice. Without her, his life had been lonely and small. Now his blessedness appeared. As she approached him with her companions, he bowed his head and body in a chivalrous salute. He had no expectation that his presence would be acknowledged. She was both perfect and untouchable, a browneyed angel dressed in resplendent white, while he was older, world-weary and wanting. She had almost passed him when his downcast eyes caught sight of one of her slippers — a slipper that hesitated just in front of him. His heart beat a furious tattoo as he waited, breathless. A soft and gentle voice broke into his remembrances as she spoke to him kindly. His startled eyes flew to hers. For years and years he’d longed for this moment, dreamed of it even, but never had he imagined encountering her in such a serendipitous fashion. And never had he dared hope he would be greeted so sweetly. Caught off balance, he mumbled his pleasantries and allowed himself the indulgence of a smile...
Words: 188392 - Pages: 754
...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
...Copyright Salman Rushdie, 1988 All rights reserved VIKING Published by the Penguin Group Viking Penguin Inc., 40 West 23rd Street, New York, New York 10010, U.S.A. Penguin Books Ltd, 27 Wrights Lane, London W8 5TZ, England Penguin Books Australia Ltd. Ringwood, Victoria, Australia Penguin Books Canada Ltd, 2801 John Street, Markham, Ontario, Canada L3R 1B4 Penguin Books (N.Z.) Ltd, 182-190, Wairau Road, Auckland ro, New Zealand Penguin Books Ltd, Registered Offices: Harmondsworth, Middlesex, England Published in 1989 by Viking Penguin Inc. For Marianne Contents I The Angel Gibreel II Mahound III Ellowen Deeowen IV Ayesha V A City Visible but Unseen VI Return to Jahilia VII The Angel Azraeel VIII The Parting of the Arabian Seas IX A Wonderful Lamp Satan, being thus confined to a vagabond, wandering, unsettled condition, is without any certain abode; for though he has, in consequence of his angelic nature, a kind of empire in the liquid waste or air, yet this is certainly part of his punishment, that he is . . . without any fixed place, or space, allowed him to rest the sole of his foot upon. Daniel Defoe, _The History of the Devil_ I The Angel Gibreel "To be born again," sang Gibreel Farishta tumbling from the heavens, "first you have to die. Hoji! Hoji! To land upon the bosomy earth, first one needs to fly. Tat-taa! Taka-thun! How to ever smile again, if first you won't cry? How to win the darling's love, mister, without a sigh? Baba, if you want to get born again...
Words: 195828 - Pages: 784
...Bloom’s Classic Critical Views W i l l ia m Sha k e Sp e a r e Bloom's Classic Critical Views alfred, lord Tennyson Benjamin Franklin The Brontës Charles Dickens edgar allan poe Geoffrey Chaucer George eliot George Gordon, lord Byron henry David Thoreau herman melville Jane austen John Donne and the metaphysical poets John milton Jonathan Swift mark Twain mary Shelley Nathaniel hawthorne Oscar Wilde percy Shelley ralph Waldo emerson robert Browning Samuel Taylor Coleridge Stephen Crane Walt Whitman William Blake William Shakespeare William Wordsworth Bloom’s Classic Critical Views W i l l ia m Sha k e Sp e a r e Edited and with an Introduction by Sterling professor of the humanities Yale University harold Bloom Bloom’s Classic Critical Views: William Shakespeare Copyright © 2010 Infobase Publishing Introduction © 2010 by Harold Bloom All rights reserved. No part of this publication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage or retrieval systems, without permission in writing from the publisher. For more information contact: Bloom’s Literary Criticism An imprint of Infobase Publishing 132 West 31st Street New York NY 10001 Library of Congress Cataloging-in-Publication Data William Shakespeare / edited and with an introduction by Harold Bloom : Neil Heims, volume editor. p. cm. — (Bloom’s classic critical views) Includes bibliographical references...
Words: 239932 - Pages: 960
...[pic] Каушанская. Сборник упражнений по грамматике английского языка Part I. ACCIDENCE THE NOUN Exercise 1. State the morphological composition of the following nouns. Snow, sandstone, impossibility, widower, opinion, exclamation, passer-by, misunderstanding, inactivity, snowball, kingdom, anticyclone, mother-of-pearl, immobility, might, warmth, succession, ex-president, nurse, misdeed, wisdom, blackbird, attention, policeman, merry-go-round, girlhood, usefulness, fortune, friendship, statesman, brother-in-law, population, fellow-boarder, smelling-salt. Exercise 2. Point out the nouns and define the class each belongs to. 1. Don't forget, Pettinger, Europe is still the heart of the world, and Germany the heart of Europe. (Heym) 2. Pursuing his inquiries, Clennam found that the Gowan family were a very distant ramification of the Barnacles... (Dickens) 3. His face was sick with pain and rage. (Maltz) 4. He drank coffee, letting the warmth go through his cold, tired body. (This is America) 5. But there is only one place I met with the brotherhood of man, and it was in the Communist Party. (This is America) 6. The mysteries of storm and the rain and tide were revealed. (Galsworthy) 7. Having set the tea, she stood by the table and said slowly: "Tea's ready, Father. I'm going to London." (Galsworthy) 8. By this time, quite a small crowd had collected, and people were asking each other what was the matter. (Jerome i(. Jerome) 9. There were several...
Words: 102303 - Pages: 410
