Julias Food Booth Essay

IntroductionJulia is planning to claim a food booth turn upside the Tech Stadium at Home Football games to pay her last year education with all the games go sold out. The rent for the booth per game is $ degree centigrade0. Julia pull up stakes sell bits of Cheese Pizza, burning Dogs and Barbecue Sandwiches which atomic number 18 acclaimed to be the most popular so these are the three products she has chosen to sell at the home games football stadium. The rent for oven is $ 600 for six home games, which makes it $ 100 per game. To keep things simple, Julia decided to hire an outside pizza delivery company, it seems to be cost effective and for other items she plans to prepare them the night before. Space taken by Pizza is 14 x 14, resilient quest afters are 16 in/sq. and the BBQ sandwich is 25 sq.The cost price of Pizza $6.00, or $.75 ea slice with 8 slices/pizza the hot dogs $0.45 each, and sandwiches$.90 each, respectively. The sale price of Pizza Slice is $1.50, hot dogs $1.60 and the BB-Q sandwich is $2.25. Julias initial investment is $1500 which would pay for the first game day she would pay the future home games out of proceeds earned from the games. From Student Feedbacks she has learnt that she sight sell as many slices of Pizza as Hot dogs and BBQ sandwichs combined. She feels she can sell twice as many hot dogs as she can the BBQ sandwichs. Julia believes that she can make at least $1000 net profit after expenses are paid per game.Objective FunctionObjective here is to maximize the profit. Profit is calculated for each varying by subtracting cost from the selling price. Pizza. Cost $6 / 8 = $ 0.75 (Cost per slice) Z =$0.75 x1 +$.452 + $.90 x3. Profit per $.75/slice pizza, $1.15/hot dog $ 1.35/BBQ Sandwich Sales Price $2.25 $ 1.60 $ 1.50 Sale Price 3x/Sandwich 2x/ Hot dog and 1x/pizza slice.Decision Variables ConstraintsBudget Constraint0.751 + 0.452 + .903 23x2 23 = 0If extra help $100/game = $100/x6Non Negative Restrictionsx1, x2 , x3 all are = 0Final ModelMaximize Total ProfitZ = 0.751 + 0.452 + .903 = 0D. Over all with the expenses of food supplies, oven leasing, the booth and the pay for help, she will still be farthest ahead in her net profit and it will be well worth the help in the end. Certainly there will be uncertainty, which is with all endeavors, but those have to be accounted for as opera hat you can.ReferencesTaylor, B. W. (2011). Introduction to Management Science. Upper Saddle River, NJ Prentice Hall. coursehero, (2009, Apr. 13). linear programing Msg google..com. Message affix to http//coursehero.com/