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Words 361

Pages 2

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 | slack 1 | NONBasic | 0 | slack 2 | Basic | 5296.0 | slack 3 | NONBasic | 0 | slack 4 | Basic | 1250 |

Optimal Value (Z) | | 2250 |

B) Evaluate the prospect of borrowing money before the first game.

Yes, Julia would increase her profit if she borrowed some more money from a friend. The shadow price, or dual value, is $1.50 for each additional dollar that she earns. The upper limit given in the model is $1,658.88, which means that Julia can only borrow $158.88 from her friend, giving her an additional profit of $238.32.

C) Prospect of paying a friend $100/game to assist

Yes, I believe Julia should hire her friend for $100 per game. In order for Julia to prepare the hot dogs and barbeque sandwiches needed in a short period of time to make her profit, she needs the additional help. Also, with her borrowing the extra $158.88 from her friend, Julia would be able to pay her friend for the time spent per game helping with the food booth.

D) Analyze the impact of uncertainties on the model

A major uncertainty that could play a factor in Julia’s analysis in weather. Weather is always un predictable and it could be sunny one day and raining the next. If the weather is rainy, there may not be as big of a crowd as there is on a nice day. The weather might also be too cold or too hot and game patrons may not want to eat before and during half time.…...

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...MAT540 Week 8 Assignment Click Link Below To Buy: http://hwcampus.com/shop/mat540-week-8-assignment/ Friday Night Lights Case Study Background: Sam Allen is a parent of several students at Mattson Area High School in a small community southwest of Dallas, TX. He is investigating different ways to finance his daughter’s first year at Southwest Texas State University – and he is considering leasing a food booth outside the Mattson Area HS stadium at home football games this fall. Football is a big family activity on Friday nights throughout most high schools in Texas. In fact, at least one TV series and several movies have been made depicting the strong interest in high school football in Texas. Mattson Area is one of the larger high schools near Dallas and has a football stadium with a seating capacity of over 20,000 (Yup, that’s right!!!). Like most high schools, Mattson Area typically sells out every home game, and Sam knows from attending the games himself that everyone comes to the stadium to do two things: go crazy cheering during the game and stuff themselves with food. He has to pay $1,000 per game for a booth, and the booths are actually not very large. Vendors can sell either food or drinks on Mattson Area but not both. This seems to be a strange rule to Sam – but he has to go with the flow on this. Only the Mattson Area athletic department concession stands can sell both inside the stadium. He thinks that he should bet on several key food items that are......

Words: 1102 - Pages: 5