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Book/movie review
22/08/2022
Julia’s Food Booth
Julia may lease a warming oven for $600 for a six game football home-season game. the oven has 16 shelves, and each shelf is 3 feet by 4 feet. she plans to fill the oven with the food times (pizza, hot dogs and barbecue sandwiches) before the game and at half time. She has to pay $1,000 per game ($6,000 total) for a booth.
Julia has negotiated with a local pizza delivery coompany to deliver 14 inch cheese pizzas twice each game – two hours before the game and right after the opening kick-off. 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 shemakes the barbecue herself the night before. She measured a hot dog and found it takes up about 16 square inches of space and the barbecue sandwich takes up about 25 square inches.
she plans to sell a slice of pizza and a hot dog for $1.50 each
A barbecue sandwich will cost $2.25
She has $1,500 in cash available to purchase and prepare the food itmes for the first home game; for the remaining five games she will purchase the 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 barbecue 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.
A. Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth.
B. If Julia were to borrow some more money from a friend before the first game to purchase more ingredients, could she increase her profits? IF so, how much should she borrow and how much additional profit would she make? What factor constrains her from borrowing even more moeny than this amount (indicated in your anser to the previous question?)
C. When Julia looked at the solution in (A), she realized that it would be physically difficult for her to prepare all the hot dogs and barbecue sandwiches in this solution. She believes she can hire a friend of hers to help her for $100 per game. Based on the results in (A) and (B), is this something you think she could reasonably do and should she do it? Why?
D. Julia seems to be basing her analysis on the assumption that everything will go as she plans. What are some of the uncertain factors in the model that could go wrong and adversely affect Julia’s analysis?
Given these uncertainties, and the results in (A) and (B) and (C) what do you recommend Julia do?
The writer is very fast, professional and responded to the review request fast also. Thank you.
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