# Math Case Study

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Essay #: 060920

*Total text length is 4,435 characters
(approximately 3.1 pages).
*
## Excerpts from the Paper

*The beginning:*
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.