Project #17353 - Julie's Food Booth

  • Julia is planning to lease a food booth at a football game
  • Booth rent is $100/day
  • Pizza slice - hot dogs and BBQ sandwiches are most popular items and what she has decided to sell
  • The rent for a warming oven is $600 for six games, which is $100/day
  • The oven has 16 shelves 3 ft by 4 ft. She will fill it w/ the 3 food items before the game and then again before half time.
  • Julia has hired a local pizza company to deliver 14 in cheese pizza 2 x game. Each pizza will cost $6 and will include 8 slices.
  • She estimates it will cost $.45/hot dog and $.90/BBQ sandwich if she makes the BBQ the night before.
  • The hot dog takes 16 sq in of space, BBQ sandwich takes up to 25 sq inches.
  • Julia plans to sell Pizza and a Hot Dog for $1.50/piece. BBQ sandwich will be $2.25/piece.
  • Julia has $1500 in cash available to purchase/prepare food items for 1st game. For the remaining 5 games, she will purcahse her ingredients with money she has made from previous games.
  • She estimates that she can expect to sell at least as many slices of pizza as hot dogs and BBQ combined.
  • She also anticipates that she will probably sell at least twice as many hot dogs as BBQ sandwiches.
  • She is anticipating selling everything in stock and develop a customer base if she follows general guidelines for demand.
  • She feels that if she sells $1000 per game - it will be worth her investment.
  1. Formulate and solvea  linear programming model for Julia that will help advise if she should lease the booth the booth.
  2. If Julia were to borrow some more $ from a friend before the first game to purchase more ingredients, could she increase her profit? If so, how mcuh should she borrow and how much additional profit would she make? What factor constrains her from borrowing even more $ than thi amount (indicated in your answer to the previous question)?
  3. When Julia looked @ the solution (1), she realizedthat it would be physically difficult for her to prepare all the hot dogs and BBQ sandwiches indicated in this solution. She believes she can hire a friend of hers to help her for $100 / game. Based on the results in (1) and (2), is this something that you think she could do reasonably? Should she do it?
  4. Julie 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 (1), (2) and (3) what do you recommend that Julia do?

Subject Mathematics
Due By (Pacific Time) 11/22/2013 08:00 am
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