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
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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 $1.50
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|Case 3 - Julia's Food Booth | | | | | | | | | | | | | | | | |Constraints: | | | |Available |Usage |Left over | | |Budget ($) |0.75 |0.45
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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
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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
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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
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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
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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
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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 $2.25. The Time constraints prevents her from both preparing and selling her food; as such, she has
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Case 3 - Julia's Food Booth | | | | | | | | | | | | | | | | | |Constraints: | | | |Available |Usage |Left over | | |Budget ($) |0.75 |0.45 |0.90 | 1,500 | 1,500.00 |0 | | |Oven space (sq. in
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