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Words 862

Pages 4

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 + 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

Solve the LP M -answer in excel solution (separate document)

Based on the excel solution the optimum solution is:

Pizza (X1) = 1250; Hotdogs(X2) = 1250 and Barbecue sandwiches (X3) = 0

Maximum value of Z = $2250

Julia should stock…...

...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 per day in potential profit loss due to the machine being out of service. The second part was to generate the intervals between successive amounts of breakdowns to the primary copier machine only. Using......

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...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 out...

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...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......

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...MAT 540 ASSIGNMENT 2 INTERNET FIELD TRIP To purchase this visit following link: http://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,...

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...MAT-540 WeeK 8 Assignment 1 http://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......

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...MAT-540 WeeK 8 Assignment 1 http://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......

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...MAT-540 WeeK 8 Assignment 1 Follow Below Link to Download Tutorial http://homeworklance.com/downloads/mat-540-week-8-assignment-1/ For More Information Visit Our Website ( http://homeworklance.com/ ) Email us At: Support@homeworklance.com or lancehomework@gmail.com 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......

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...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 ______ ......

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...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 | | | | | ...

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