(A) Formulate and solve an L.P. model for this case Variable Food Cooking Area x1 Pizza Slice 24in sq x2 Hot Dogs 16in sq x3 BBQ Sandwiches 25in sq *The oven space required for a pizza slice is calculated by dividing the total area arequired for a whole pizza by the number of slices in a pizza 14 x 14 = 196 in2‚ by 8‚ or approximately 24 in2 per slice. The total space available is the dimension of a shelf‚ 36 in. x 48 in. = 1‚728 in2‚ multiplied by 16 shelves‚ 27‚648 in2‚ which is multiplied
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Julia’s Food Booth Strayer University Quantitative Methods – MAT 540/ Spring 2012 Dr. Buddy Bruner May 19‚ 2012 A) Formulate and solve an L.P. model for this case. [pic] [pic] B) Evaluate the prospect of borrowing money before the first game. After observing the ranging chart calculations indicate that the upper bound in the budget is equal to 1638.4. The original value of the budget
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Introduction Julia Robertson‚ a senior at Tech‚ explores various options to support her final year at school and weighs the option of hiring a food booth outside the institute for football games as she knows from her personal experience that during the games‚ people eat lot of food. Facts/Market survey: Before arriving at the final decision‚ she does some market survey and gathers the following information. Hiring cost of booth will be $1000 per game. She would be able to sell only food items from
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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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Running Head: JULIA’S FOOD BOOTH Assignment #3: Case Problem "Julia’s Food Booth" Mat540 Quantitative Methods August 22‚ 2012 Julia’s Food Booth (A) Formulate and solve a L.P. model for this case. Variables: Pizza - X1 $1.33 $1.50 14 inches Hot Dogs - X2 $0.45 $1.50 16 square inches Barbecue - X3 $0.90 $2.25 25 square inches Maximize Z= $0.75x1‚ 1.05x2‚ 1.35x3 Subject to: $0.75x1 + $0.45x2 + $0.90x3 ≤ $1‚500 24x1 + 16x2 + 25x3 ≤
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Julia’s Food Booth Case Problem Assignment 3 Max Z =Profit1x1+ Profit2x2+ Profit3x3 A - Formulation of the LP model x1 - number of pizza slice x2 - number of hot dogs x3 - number of barbecue sandwiches Constraints Cost Maximum fund available for food = $1500 Cost per pizza $6 ÷08 (slices) = $0.75 Cost for a hot dog = $0.45 Cost for a barbecue sandwich = $0.90 Constraint: 0.75x1+0.45x2+0.90x3 ≤1500 Oven space Space available 16.3.4.2 = 384ft^2 384
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Julia’s Food Booth Case Problem MAT 540- Quantitative Methods February 23‚ 2013 (A) Formulate and solve an L.P. model for this case. The following variables were be used: X1 = Slices of Pizza 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 (B) Evaluate the prospect of borrowing money before the first
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Julia’s Food Booth A) Formulate and solve an L.P. model: Variables: x1 – Pizza Slices x2 – Hot Dogs x3 – Barbeque Sandwiches Subject to: $0.75x1 + $0.45x2 + $0.90x3 ≤ $1‚500 24x1 + 16x2 + 25x3 ≤ 55‚296 in2 of oven space x1 ≥ x2 + x3 (changed to –x1 + x2 + x3 ≤ 0 for constraint) x2/x3 ≥ 2 (changed to –x2 +2x3 ≤ 0 for constraint) x1‚ x2‚ x3 ≥ 0 Solution: Variable | Status | Value | X1 | Basic | 1250 | X2 | Basic | 1250 | X3 | NONBasic | 0 |
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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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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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