Math Case Study This case study deals with Angela Fox and Zooey Caulfield. After graduating from college, they opened a French restaurant. What they need to do is figure out how to make the restaurant successful. A. For this question we need to formulate a linear programming model to determine how many dinners they need to make a night? Step 1: develop a table Properties Fish Beef Profit per meal $12 $16 Prep time 15 min 30min Suspected consumer orders < or = to 90 per cent > or = to 10 per cent Ratio 3 2 Labour 20 hours total Step 2: list constraints Total labour 20 hours a day Step 3: decide the decision variables How many meals a night: Q=no. of fish meals per night R=no. of beef meals per night 3 fish meals for every 2 beef Beef...The end:
..... made we multiply the fish number by 12 and the beef numbers by 16. In the first case we make $648 on Fish and $96 on Beef for total of $744. With advertising we get $756 on Fish and $112 for a total of $868. This means that make an additional $112 more then we did without it. That is the gross profit. To figure out the net profit we need to subtract $30 from $112. Our net profit in this case is $82. Since we would be making $82 extra profit with advertising we should advertise. References MacDonald, Ziggy . (1995). Teaching Linear Programming with Excel Solver, Vol.9, Iss.3. Math Problems. (2010). Math 540 Case Study. Steps in Formulating a Linear Programming Model. (2010). Prejudice Website: http://prejudice.tripod.com/ME30B/LP_Steps.htm.