A. Julia Robertson is considering renting a food booth at her school. She is seeking ways to finance her last year and thought that a food booth outside her school’s stadium would be ideal. Her goal is to earn the most money possible thereby increasing her earnings. In this case problem‚ she decided to sell pizza‚ hotdogs and BBQ sandwiches. The following LP model illustrates the maximum net profit and constraints that will determine whether or not to least the booth. Z = $ .75(X1) + $1.05(X2)
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Julia’s Food Booth Strayer University Quantitative Methods MAT 540 December 12‚ 2012 Dr. L. Joseph Introduction 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 a booth‚ and the booths are not very large. Vendors
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Julia Food Booth Introduction Julia is planning to lease a food booth outside the Tech Stadium at Home Football games to finance her last year education with all the games go sold out. The rent for the booth per game is $ 1000. Julia will sell slices of Cheese Pizza‚ Hot Dogs and Barbecue Sandwiches which are acclaimed to be the most popular so these are the three products she has chosen to sell at the home games football stadium. The rent for oven is $ 600 for six home games‚ which
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Julia’s Food Booth (A) Formulate and solve an LP model for this case The objective here is to maximize the profit. Profit is calculated for each variable by subtracting cost from the selling price. The decision variables used are X1 for pizza slices‚ X2 for hotdog‚ and X3 for BBQ sandwich. X1 (pizza) X2 (hotdog) X3 (sandwich) Sales Price 1.50 1.50 2.25 Cost 0.75 0.45 0.90 Profit 0.75 1.05 1.35 *For Pizza Slice: Cost/Slice = $6/8 = $0.75 cost per slice Maximize Z =
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occurs when P=1250 h-1250 s=0 Profit =$2250 Since the booth costs $1000 to lease per game‚ and the oven is $100 per game‚ then Julia’s overall profit is‚ P = 2250 - 1100 = $1150 Hence it is worth leasing the booth. b) The shadow price for the budget is 1.50 and allowable increase is 138.4 Therefore‚ each dollar added to the budget will increase profit by $1.50 with a maximum increase of $138.40. Therefore the maximum amount Julia can borrow is $138.40 which will produce an additional profit
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X2 = Hot Dogs X3 = BBQ Sandwiches The objective is to maximize profit. maximize Z= 0 .75X1+1.05X2+1.35X3 Subject to: 0.75X1+1.05X2+1.35X3≤1‚500(Budget) 24X1+16X2+25X3≤55‚296in2 (Oven space) X1≥X2+X3 X2X3≥2.0 X1‚ X2‚ X3≥0 Julia’s Food Booth Food items: Pizza Hot Dogs Barbecue Profit per item: 0.75 1.05 1.35 Constraints: Available Usage Left over Budget ($) 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
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Julia Booth Case Study Angela Walker June‚ 06‚ 2013 Dr. Carl Tucker field In this case study‚ I must create a linear programming model for Julia that will help her to decide whether or not she need to lease a booth. The three products or variable we must consider for this booth are pizza‚ hotdogs‚ and barbecue sandwiches. In this model‚ x 1 equal the number of pizza slices Julia should purchase‚ x2 equals the number of hotdogs Julia should purchase‚ and x3 equal the number of barbecue sandwiches
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TQuantitative Methods – MAT 540 Student Course Guide Prerequisite: MAT 300 Quarter Meeting Days/Time Instructor Instructor Phone Instructor E-mail Instructor Office Hours/Location Academic Office Phone Number Strayer Technical Support INSTRUCTIONAL MATERIAL – Required ( including all mandatory software) 1-877-642-2999 Taylor‚ B. M. (2010). Introduction to management science (10th ed.). Upper Saddle River‚ NJ: Pearson/Prentice Hall. QM for Windows and Treeplan add-on for Excel. This software
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Final Examination Math 540 Quantitative Methods Good luck on the exam. I hope you have enjoyed the course. Dr. West Multiple Choice (2 points each) (Select 8 – drop 1) ______1) For your project‚ what one way will not possibly generate increased profit? a) Increase your building space or lot size. b) Decrease the money paid to employees. c) Refinance the loan at a lower rate. d) Charge more for
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Assignment #3: Julia’s Food Booth Quantitative Methods 540 Buddy L. Bruner‚ Ph.D. Shirley Foster 11/25/2012 Assignment 3: Case problem “Julia’s Food Booth” Page 1 A. Julia Robertson is making an allowance for renting a food booth at her school. She is seeking ways to finance her last year and believed that a food booth outside her school’s stadium would be ideal. Her goal is to earn the most money possible thus increasing her earnings. In this case
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