No Marshmallows, Just Term Papers
Part A is also in the submitted QM solution
Maximize Total profit Z = $0.75X1 + 1.05X2 +1.35X3
1. Budget constraint: 0.75X1+.45X2+.90X3=0
4. At least twice as many hot dogs as barbeque sandwiches
This constraint can be rewritten as:
X1, X2, X3 >= 0
Model: Maximize Total profit Z = $0.75X1 + 1.05X2 +1.35X3
0.75X1+0.45X2+.90X3=0 (at least twice as many hot dogs as barbeque sandwiches)
X1= Pizza Slices
X2= Hot Dogs
X3= BBQ Sandwiches
X1= 1250, X2= 1250 X3= 0 Z= $2,250.00
Julia should stock 1250 pizza slices, 1250 hot dogs and 0 BBQ sandwiches for a total profit of $2,250.00
Booth cost= $1000
Oven cost = $100
After total expenses of $1100.00, Julia would have a net profit of $1150.00 meeting her requirement of a minimum of $1000.00 profit. Julia should lease the booth for the season.
From the QM solution, Julia has used all of her available budget, there is no slack value indicating leftover funds. The solution also indicates that all the space in the oven has been used with no slack remaining. Julia would have no space for food so she should not borrow funds.
If Julia pays $100.00 for help her cost increases accordingly and her profit drops to $1050.00 Julia has still met her profit goal of $1000.00
Weather, attendance, and food costs are all variables that could affect Julia’s profit. If sales aren’t as anticipated or the cost of doing business increases than the profit goal of $1000 per game may not be met.
Given all the uncertainty and the fact that slight cost increases adversely affect profit, I would recommend that Julia not open the food booth.
Join now to view this essay and thousands of others on PaperCamp.com. It's free Join Now!