Case Problem For Julia'S Food Booth

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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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    After formulating and solving a linear programming model for Julia’s Food Booth, I feel that Julia should lease the food booth at the Tech stadium football games. Yes. Julia should lease the booth because she would potentially make a profit of $1150 ($2250-$1100) each game; this is more than what she needs to run the booth. In addition, because she has cash on hand of $1500 to purchase and prepare the food items for the first game, Julia would not have to use any of the money that she makes to

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    Julias Food Booth

    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                           384.144=55296 in ^2 Space required for pizza: 14.14 = 196

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    head: JULIA’S FOOD BOOTH 1 Case Study Julia’s Food Booth Susan Dawson Strayer University JULIA’S FOOD BOOTH 2 Case Study: Julia’s Food Booth In this case study, we are asked to determine if Julia Robertson, a senior at Tech, should finance her final year at Tech in part by opening a food booth outside

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    Assignment 3: Julia's Food Booth

    The three products/variables in this problem that must be considered for purchase are: x1: Pizza Slices x2: Hot Dogs x3: Barbeque Sandwiches The objective is for Julia to maximize profits. Julia’s goal is to earn a profit of at least $1,000.00 after each game. Profit = Sell – Cost Profit Function: Z = 0.75(X1) + 1.05(X2) + 1.35(X3) Constraints and Cost: The maximum amount of funds available for purchase is $1500.00 Cost per pizza slice = $0.75 because Julia purchases each pizza for $6.00

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    Julia's Food Booth

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    Julia's Food Booth

    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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    Case Problem” Julia’s Food Booth”

    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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    (A) Formulate and solve an L.P. model for this case. Decision variables p=Pizza, h=Hot Dog, s=Sandwich. maximize Z = 0.75x1 + 1.05x2 + 1.35x3 subject to: 24.5p + 16h + 25s = 0 p, h, s >= 0 The maximum profit occurs when p = 1250, h=1250, and s=0 and Z = $2250 To produce the maximum results Julia should stock 1250 slices of pizza, and 1250 hot dogs, and 0 sandwiches. (B) Evaluate the prospect of borrowing money before the first game. It is clear from the

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    Julia's Food Booth

    Julia's Food Booth Part A (Formulate) | | | | | Step 1: | Define the decision variables: | | | | | | x1 | = | How many hot dogs to produce to maximize profit | | | x2 | = | How many BBQ Sandwiches to produce to maximize profit | | x3 | = | How many Cheese Pizza slices to sell to maximize profit | | | | | | | | | | | Step 2: | Define the objective function. | | | | | | Maximize the profits of Julia's booth. | | | | | | | | | | | | | | |

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    Case Problem for Julia's Food Booth

    |Case 3 - Julia's Food Booth | | | | | | | | | | | | | | | | |Constraints: |  |  |  |Available |Usage |Left over | | |Budget ($) |0.75 |0.45

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    Julia's Food Booth

    Assignment 3 Julia’s food booth A).Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth. X1=number of cheese pizza slices X2=number of hot dogs X3=number of BBQ sandwiches Julia Food Booth | | | | | | | | | | | | | | | | Products | Pizza X1 | Hot Dog X2 | Barb Sand X3 | | | | | Profit per unit | $0.75 | $1.05 | $1.35 | Resources | Constraints |   |   |   | Avail | Usage | Left Over |   | Budget

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    Julia's Food Bo0Th

    Julia’s Food Booth A.Formulate and solve an L.P. model for this case. Decision Variables | X1 | # of Pizzas | X2 | # of Hotdogs | X3 | # of BBQ Sandwiches | Objective Function |   | X1 | X2 | X3 | Selling Price | $ 1.50 | $ 1.50 | $ 2.25 | Cost | $ 0.75 | $ 0.45 | $ 0.90 | Profit | $ 0.75 | $ 1.05 | $ 1.35 | Maximize total profit Z=$0.75X1+$1.05X2+$1.35X3 Budget Constraints: $0.75X1+$0.45X2+$0.90X3<=$1,500 Space Constraints:

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    Julia Food Booth

    Running Head: Julia’s Food Booth Strayer University April 2012 Julia is a senior at Tech, and a small entrepreneur. She wants to lease a food booth outside the Tech stadium for the home football games, so she can make profit to finance a final year. Tech sells out every home game, and the one thing Julia knows from attending the every games, is that everyone eats a lot of food. She has a booth, and the booths are not very large. Vendors

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    Julia's Food Booth

    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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