Submitted By alj1281

Words 1877

Pages 8

Words 1877

Pages 8

Quantitative Methods - MAT

Assignment #3: Julia’s Food Booth

A. Formulate and solve an L.P. model for this case:

X1 = pizza slices

X2 = hot dogs

X3 = B B Q sandwiches

This model is set up for the first home game.

Next, you would maximize Z = $0.75 x1 + 1.05 x2 + 1.35 x3 which is subject to the following:

$0.75x1 + 0.45x2 + 0.90x3 = 2.0 so x1, x2, x3 >=0

X3

All of which is displayed in the graph below. (Note: The oven space needed for a slice of pizza is determined by dividing the total space required by the slice of pizza, 14 x 14 = 196 in^2 by 8 or 24 in^2 per slice. The total space available would be the dimensions of the shelf, 36 in. x 48 in. = 1,728 in^2, multiply that by 2, the times before kickoff and halftime, thus the oven will be filled 55,296in^2.

Solution: X1 = 1,250 slices of pizza

X2 = 1,250 hot dogs

X3 = 0 bbq sandwiches

Z = $2,250

| | | | | | | | |

Food items: | | Pizza | Hot Dogs | Barbecue | | | | |

Profit per item: | 0.75 | 1.05 | 1.35 | | | | |

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 | |

| | | | | | | | |

Stock | | | | | | | | |

Pizza= | 1250 | slices | | | | | | |

Hot Dogs= | 1250 | hot dogs | | | | | | |

Barbecue= | 0 | sandwiches | | | | | | |

Profit= | 2,250.00 | | | | | | | |

Julia’s profit before expenses should be $2,250. The lease is $1,000 per game thus giving a profit of $1,250.00. Then she had the cost of leasing the warming oven of $100, leaving her with…...

...Judge’s Score Sheet & Guidelines Chili will be judged according to 5 criteria. Chili will be rated on a scale of zero to 10 for each of the 5 categories; 1. Color – Chili should look appetizing, reddish brown is generally accepted as good. 2. Aroma – Chili should smell good. This also indicates what’s in store when you taste it. 3. Consistency – Chili must have a good ratio between sauce and meat. It should not be dry, watery, grainy, lumpy, or greasy. 4. Taste – Taste, above all else, taste is the most important factor. The taste should consist of a combination of meat, spices, etc. with no particular ingredient being dominant. 5. After-taste – The aftertaste or bite is the heat created by the various types of spices and or peppers. Judge each Chili on it’s on merit; do not compare one chili to another. Use a clean, new spoon for each chili Clear your palate between each chili. Use water or saltines. Place your score on the sheet blank that corresponds to the chili being judged. Do not talk to other judges or compare notes. If you have any food allergies, please ensure a Deja Brew employee is made aware of it before judging begins. [pic] Deja Brew Chili Cook-off Official Score Sheet Chili # ______________________ Date_____________ Please rate this chili on a scale of zero (low) to 10 (high), using only whole numbers, against the 5 category descriptions above; ______ Color ______ Aroma ______ ......

Words: 250 - Pages: 1

...Assignment 3: Julia’s Food Booth Quantitative Methods - MAT Assignment #3: Julia’s Food Booth A. Formulate and solve an L.P. model for this case: X1 = pizza slices X2 = hot dogs X3 = B B Q sandwiches This model is set up for the first home game. Next, you would maximize Z = $0.75 x1 + 1.05 x2 + 1.35 x3 which is subject to the following: $0.75x1 + 0.45x2 + 0.90x3 = 2.0 so x1, x2, x3 >=0 X3 All of which is displayed in the graph below. (Note: The oven space needed for a slice of pizza is determined by dividing the total space required by the slice of pizza, 14 x 14 = 196 in^2 by 8 or 24 in^2 per slice. The total space available would be the dimensions of the shelf, 36 in. x 48 in. = 1,728 in^2, multiply that by 2, the times before kickoff and halftime, thus the oven will be filled 55,296in^2. Solution: X1 = 1,250 slices of pizza X2 = 1,250 hot dogs X3 = 0 bbq sandwiches Z = $2,250 | | | | | | | | | Food items: | | Pizza | Hot Dogs | Barbecue | | | | | Profit per item: | 0.75 | 1.05 | 1.35 | | | | | Constraints: | | | | Available | Usage | Left over | | Budget ($) | 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 | | | | | | | | | | | Stock...

Words: 1877 - Pages: 8

...Explanation: I conducted a random simulation with the information provided based on 52 base week calendar. Author B. Taylor stated “simulation can be applied to a number of problems that are too difficult to model and solve analytically” (Taylor, 2009). In this case the results were based on the use of one copy machine, intervals of breakdown, requiring 1-4 days for repair at a loss, at $0.10 cents a copy. Day 1: 20%, Day 2: 45%, Day 3: 25%, Day 4: 10% a total probability of 100%. The point of this case study is to simulate the break-down and repair process for one year to obtain an average annual loss of revenue. In addition the amount of time between breakdowns increases the probability of needing more costly repairs. Should the anticipated lost revenue exceeds $12,000.00 annually a backup copier will be purchased. We must keep in mind the most important factors of customer satisfaction and convenience, which is what, prompted the owners of JET to start their business in the first place. The first part of creating the probability of breakdowns relied upon information supplied by Jet Copies and their estimated probability of distribution. The nearby college staff had prior knowledge of the service provider’s timelines for repair because they had the same copier in the campus office. JET used their own estimated repair time to recreate a random repair time probability table using a range of days. As a result the average repair time was 3 days at a cost of $691...

Words: 677 - Pages: 3

...Assignment #3 Case Problem - Julia's Food Booth May 28, 2013 Strayer University Course: MAT 540 – Quantitative Methods A: Formulation of the LP Model Let: X1 = (Pizza), X2 = (hotdogs), X3 = (barbecue sandwiches) Constraints: Maximum fund available for the purchase = $1500 Constraint: 0.75X1 + 0.45X2+ 0.90(X3) ≤ 1500 Cost: Cost per pizza slice = $6 (get 8 slices) =6/8 = $0.75 Cost for a hotdog = $.45 Cost for a barbecue sandwich = $.90 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: Constraint: 24.50 (X1) + 16 (X2) + 25 (X3) ≤ 55296 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 When: X2/X3 ≥ 2 = X2 ≥2 X3 =X2 - 2 X3 ≥ 0 X1, X2, X3 >= 0 (Non negative constraint) Objective Function (Maximize Profit): Products: | Pizza (X1) | Hotdogs (X2) | Barbecue Sandwich(X3) | Sell | 1.5 | 1.5 | 2.25 | Cost | 0.75 | 0.45 | 0.9 | Profit | 0.75 | 1.05 | 1.35 | Profit = Sell - Cost Profit formula: Z = 0.75 X1 + 1.05 X2 + 1.35 X3 LP Model Maximize method: Z = 0.75 X1...

Words: 862 - Pages: 4

...Question 1 .2 out of 2 points Correct The following inequality represents a resource constraint for a maximization problem: X + Y ≥ 20 Answer Selected Answer: False Correct Answer: False . Question 2 .2 out of 2 points Correct Graphical solutions to linear programming problems have an infinite number of possible objective function lines. Answer Selected Answer: True Correct Answer: True . Question 3 .2 out of 2 points Correct Surplus variables are only associated with minimization problems. Answer Selected Answer: False Correct Answer: False . Question 4 .2 out of 2 points Correct In a linear programming problem, all model parameters are assumed to be known with certainty. Answer Selected Answer: True Correct Answer: True . Question 5 .2 out of 2 points Correct A linear programming problem may have more than one set of solutions. Answer Selected Answer: True Correct Answer: True . Question 6 .2 out of 2 points Correct A linear programming model consists of only decision variables and constraints. Answer Selected Answer: False Correct Answer: False . Question 7 .2 out of 2 points Correct In minimization LP problems the feasible region is always below the resource constraints. Answer Selected Answer: False Correct Answer: False . Question 8 .2...

Words: 1171 - Pages: 5

...MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $55,000.The variable cost of recapping a tire is $8.The company charges $21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $30,000, and its variable cost per pound of fertilizer is $0.16. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home...

Words: 7097 - Pages: 29

...MAT 540 Week 7 Homework Chapter 3 http://homeworkfy.com/downloads/mat-540-week-7-homework-chapter-3/ To Get this Tutorial Copy & Paste above URL Into Your Browser Hit Us Email for Any Inquiry at: Homeworkfy@gmail.com Visit our Site for More Tutorials: (http://homeworkfy.com/ ) 1. Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. Each basketball produced results in a profit of $11 and each football earns $15 in profit. The resource requirements for each product and the total resources available are as follows: Product Resource Requirements per Unit Rubber (lb.) Leather (ft2) Basketball 2.8 3.7 Football 1.5 5.2 Total resources available 600 900 a. Find the optimal solution. b. What would be the effect on the optimal solution if the profit for the basketball changed from $11 to $12? c. What would be the effect on optimal solution if 400 additional pounds of rubber could be obtained? What would be the effect if 600 additional square feet of leather could be obtained? 2. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per...

Words: 727 - Pages: 3

...MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $55,000.The variable cost of recapping a tire is $8.The company charges $21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $30,000, and its variable cost per pound of fertilizer is $0.16. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home...

Words: 7097 - Pages: 29

...MAT540 Complete Course Week 1 to week 11 Click below link for Answer visit www.workbank247.com http://workbank247.com/q/mat540-complete-course-week-1-to-week-11-latest-20/11635 http://workbank247.com/q/mat540-complete-course-week-1-to-week-11-latest-20/11635 MAT540 Week 1 Discussion "Class Introductions" Please respond to the following: Please introduce yourself, including your educational and career goals, as well as some personal information about yourself. In your introduction, please draw from your own experience (or use a search engine) to give an example of how probability is used in your chosen profession. If you get your information from an online or other resource, be sure to cite the source of the information MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recapping a tire is $7.5. The company charges$25 to recap a tire. a. For an annual volume of 15, 000 tire, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.20. Evergreen sells the fertilizer for $0.45 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in problem 2...

Words: 2483 - Pages: 10

...Question 1 2 out of 2 points Correct In a linear programming problem, all model parameters are assumed to be known with certainty. Answer Selected Answer: True Correct Answer: True Question 2 2 out of 2 points Correct If the objective function is parallel to a constraint, the constraint is infeasible. Answer Selected Answer: False Correct Answer: False Question 3 2 out of 2 points Correct A linear programming problem may have more than one set of solutions. Answer Selected Answer: True Correct Answer: True Question 4 2 out of 2 points Correct Graphical solutions to linear programming problems have an infinite number of possible objective function lines. Answer Selected Answer: True Correct Answer: True Question 5 2 out of 2 points Correct The following inequality represents a resource constraint for a maximization problem: X + Y ≥ 20 Answer Selected Answer: False Correct Answer: False Question 6 2 out of 2 points Correct If the objective function is parallel to a constraint, the constraint is infeasible. Answer Selected Answer: False Correct Answer: False Question...

Words: 1091 - Pages: 5

...MAT 540 WEEK 7 ASSIGNMENT 3 CASE PROBLEM – JULIA’S FOOD BOOTH To purchase this Click here: http://www.activitymode.com/product/mat-540-week-7-assignment-3-case-problem-julias-food-booth/ Contact us at: SUPPORT@ACTIVITYMODE.COM MAT 540 WEEK 7 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. (B) Evaluate the prospect of borrowing money before the first game. (C) Evaluate the prospect of paying a friend $100/game to assist. (D) Analyze the impact of uncertainties on the model. MAT 540 Week 7 Assignment 3 Case Problem - Julia’s Food Booth Activity mode, MAT 540 Week 7 Assignment 3 Case Problem - Julia’s Food Booth, Home Work Tutorials, Home Work Solutions, Home Work Essay, Home Work Questions.ACC 565 Wk 7 Assignment 3, ACC403 week 2 assignment, ACC565 Week 10, ACCT 212 (Financial Accounting), ACCT 344 (Entire Course) - Devry, ACCT 344 Final Exam Latest 2014 - Devry, ACCT 346 (Managerial Accounting), ACCT 346 Midterm Exam Updated DeVry, ACCT 504, ACCT 504 Week 8, ACCT 553, ART 101 Week 8, Ashford BUS 401, ASHFORD BUS 640, Ashford HIS 204, ASHFORD MAT 222 Week 3, BA 215 (Business Statistics), BA 215 All Assignments Week 1 -8 - Grantham, BA 225, BA 260, BA 265 (Business Law II), BA 265 (Business Law II) FINAL EXAM, BA 340 All Course Assignments, BA 340 Human Resource, BA 370...

Words: 1134 - Pages: 5

...MAT 540 ASSIGNMENT 2 INTERNET FIELD TRIP To purchase this visit following link: https://coursehomework.com/product/mat-540-assignment-2-internet-field-trip/ Contact us at: HELP@COURSEHOMEWORK.COM MAT 540 ASSIGNMENT 2 INTERNET FIELD TRIP 1. Research: Research at least six (6) information sources on forecasting methods; take notes and record and interpret significant facts, meaningful graphics, accurate sounds and evaluated alternative points of view. 2. Preparation: Produce as storyboard with thumbnails of at least ten (10) slides. Include the following elements: o Title of slide, text, background color, placement & size of graphic, fonts – color, size, type for text and headings o Hyperlinks (list URLs of any site linked from the slide), narration text, and audio files (if any) o Number on slides clear o Logical sequence to the presentation 3. Content: Provide written content with the following elements: o introduction that presents the overall topic (clear sense of the project’s main idea) and draws the audience into the presentation with compelling questions or by relating to the audience’s interests or goals. o accurate, current o clear, concise, and shows logical progression of ideas and supporting information o motivating questions and advanced organizers o drawn mainly from primary sources 4. Text Elements: Slides should have the following characteristics: o fonts are easy-to-read; point size that varies appropriately for headings and text o italics...

Words: 769 - Pages: 4

...MAT 540 Week 7 Homework Chapter 3 https://homeworklance.com/downloads/mat540-week-7-homework-chapter-3/ . Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. Each basketball produced results in a profit of $11 and each football earns $15 in profit. The resource requirements for each product and the total resources available are as follows: Product Resource Requirements per Unit Rubber (lb.) Leather (ft2) Basketball 2.8 3.7 Football 1.5 5.2 Total resources available 600 900 a. Find the optimal solution. b. What would be the effect on the optimal solution if the profit for the basketball changed from $11 to $12? c. What would be the effect on optimal solution if 400 additional pounds of rubber could be obtained? What would be the effect if 600 additional square feet of leather could be obtained? 2. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per Unit Line 1 Line 2 A 11 5 B...

Words: 695 - Pages: 3

...MAT-540 WeeK 8 Assignment 1 https://homeworklance.com/downloads/mat-540-week-8-assignment-1/ You are to solve Problem 30 in Chapter 4 on page 158 of your textbook. It’s about publishing three weekly magazines. You can use QM for Windows to perform a sensitivity analysis for Objective function coefficients and the RHS values of the constraints. Be sure give the shadow price/dual values for an extra hr of production time or an extra lb of paper. Be sure to follow instructions written for Assignment 1, Linear Programming Case Study. Assignment 1. Linear Programming Case Study Your instructor will assign a linear programming project for this assignment according to the following specifications. It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions). The problem will also include a component that involves sensitivity analysis and the use of the shadow price. You will be turning in two (2) deliverables, a short writeup of the project and the spreadsheet showing your work. Writeup. Your writeup should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable...

Words: 556 - Pages: 3

...MAT 540 Week 7 Homework Chapter 3 https://homeworklance.com/downloads/mat540-week-7-homework-chapter-3/ . Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. Each basketball produced results in a profit of $11 and each football earns $15 in profit. The resource requirements for each product and the total resources available are as follows: Product Resource Requirements per Unit Rubber (lb.) Leather (ft2) Basketball 2.8 3.7 Football 1.5 5.2 Total resources available 600 900 a. Find the optimal solution. b. What would be the effect on the optimal solution if the profit for the basketball changed from $11 to $12? c. What would be the effect on optimal solution if 400 additional pounds of rubber could be obtained? What would be the effect if 600 additional square feet of leather could be obtained? 2. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per Unit Line 1 Line 2 A 11 5 B...

Words: 695 - Pages: 3