Julia Robertson 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 to pay $1,000 per game for a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell. Most food items are sold during the hour before the game starts and during halftime; thus it will not be possible for Julia to prepare the food while she is selling it. She must prepare the food ahead of time and then store it in a warming oven. For $600 she can lease a warming oven for the six-game home season. The oven has 16 shelves, and each shelf is 3 feet by 4 feet. She plans to fill the oven with the three food items before the game and then again before halftime. Julia has negotiated with a local pizza delivery company to deliver 14-inch cheese pizzas twice

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Julia Robertson 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 to pay $1,000 per game for a booth, and the booths are not very large. Vendors can sell
either food or drinks on Tech property, but not both. Only the Tech athletic department concession
stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs, and barbecue
sandwiches are the most popular food items among fans and so these are the items she would sell.
Most food items are sold during the hour before the game starts and during halftime; thus it will
not be possible for Julia to prepare the food while she is selling it. She must prepare the food ahead of
time and then store it in a warming oven. For $600 she can lease a warming oven for the six-game home
season. The oven has 16 shelves, and each shelf is 3 feet by 4 feet. She plans to fill the oven with the
three food items before the game and then again before halftime.
Julia has negotiated with a local pizza delivery company to deliver 14-inch cheese pizzas twice
each game 2 hours before the game and right after the opening kickoff. Each pizza will cost her $6 and
will include 8 slices. She estimates it will cost her $0.45 for each hot dog and $0.90 for each barbecue
sandwich if she makes the barbecue herself the night before. She measured a hot dog and found it takes
up about 16 square inches of space, whereas a barbecue sandwich takes up about 25 square inches. She
plans to sell a slice of pizza and a hot dog for $1.50 apiece and a barbecue sandwich for $2.25. She has
$1,500 in cash available to purchase and prepare the food items for the first home game; for the
remaining five games she will purchase her ingredients with money she has made from the previous
game.
Julia has talked to some students and vendors who have sold food at previous football games at
Tech as well as at other universities. From this, she has discovered that she can expect to sell at least as
many slices of pizza as hot dogs and barbecue sandwiches combined. She also anticipates that she will
probably sell at least twice as many hot dogs as bar-becue sandwiches. She believes that she will sell
everything she can stock and develop a customer base for the season if she follows these general
guidelines for demand.
If Julia clears at least $1,000 in profit for each game after paying all her expenses, she believes it
will be worth leasing the booth.
REQUIRED: Formulate a model that can help Julia solve her problem.
N
Transcribed Image Text:Julia Robertson 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 to pay $1,000 per game for a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell. Most food items are sold during the hour before the game starts and during halftime; thus it will not be possible for Julia to prepare the food while she is selling it. She must prepare the food ahead of time and then store it in a warming oven. For $600 she can lease a warming oven for the six-game home season. The oven has 16 shelves, and each shelf is 3 feet by 4 feet. She plans to fill the oven with the three food items before the game and then again before halftime. Julia has negotiated with a local pizza delivery company to deliver 14-inch cheese pizzas twice each game 2 hours before the game and right after the opening kickoff. Each pizza will cost her $6 and will include 8 slices. She estimates it will cost her $0.45 for each hot dog and $0.90 for each barbecue sandwich if she makes the barbecue herself the night before. She measured a hot dog and found it takes up about 16 square inches of space, whereas a barbecue sandwich takes up about 25 square inches. She plans to sell a slice of pizza and a hot dog for $1.50 apiece and a barbecue sandwich for $2.25. She has $1,500 in cash available to purchase and prepare the food items for the first home game; for the remaining five games she will purchase her ingredients with money she has made from the previous game. Julia has talked to some students and vendors who have sold food at previous football games at Tech as well as at other universities. From this, she has discovered that she can expect to sell at least as many slices of pizza as hot dogs and barbecue sandwiches combined. She also anticipates that she will probably sell at least twice as many hot dogs as bar-becue sandwiches. She believes that she will sell everything she can stock and develop a customer base for the season if she follows these general guidelines for demand. If Julia clears at least $1,000 in profit for each game after paying all her expenses, she believes it will be worth leasing the booth. REQUIRED: Formulate a model that can help Julia solve her problem. N
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