Julia’s Food Booth Kenneth W. Dayton Strayer University 11/25/2011 Math 540 Quantitative Reasoning Julia Robertson is a senior at Tech University and wants to find a way to make extra money to finance her final year at school. She is considering leasing a food booth outside the Tech stadium during home football games. Julia knows the games sell out and the crowd eats a lot of food. Julia has spoken with Ken a consultant and has agreed to investigate her leasing a food booth. Ken will look
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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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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 ^2 inches Space for slice of pizza; 196 ÷8 = 24.50 in ^2 Space for hot dog: 16 in ^2 Space for barbecue = 25 in ^2 Constraint 24.50x1+16x2+25x3 ≤55296 Julia can sell at least as many
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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 buy ingredients
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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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paper will display findings of data constructed to aid Julia in deciding if she should open a food booth during the football season at Tech High School. The team at Tech High plays 6 home games during the regular season, during which she would be responsible for providing food for the booth, rent for the cost of the booth, and an oven to prepare the food. Julia concluded that there are 2 constraints that she must consider: 1) the cost of the food & 2) the size of the oven. In addition she believes that
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Julia’s food booth a solution needs to be determined as to if investing in a booth to sell food during Tech football games is a sound investment. Julia is considering leasing a booth to sell food outside of Tech stadium at home football games to generate revenue in order to finance her final year at the school. After all of her expenses are paid Julia wants to bring in a profit of $ 1,000 per game. If she can accomplish this then she feels that it will be worth the money to invest in a booth. The
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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’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 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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