Food Booth Case Study
Introduction
Julia Robertson, a senior at Tech, explores various options to support her final year at school and weighs the option of hiring a food booth outside the institute for football games as she knows from her personal experience that during the games, people eat lot of food.
Facts/Market survey: Before arriving at the final decision, she does some market survey and gathers the following information. Hiring cost of booth will be $1000 per game. She would be able to sell only food items from the booth and not the drinks. So depending on the popularity of the food items, she decides to sell only slices of cheese pizza, hot dogs and barbeque sandwiches. As per the eligibility conditions All food items would be sold during the …show more content…
inch = 196 sq. inch.
Facts gathered by Julie are that space requirement.
For each hot dog = 16 sq. inch
For each barbeque sandwich. = 25 sq. in
So total space requirement for storing the entire food material will be
196 X1 + 16 X2 + 25 X3.
The total space available in oven is = 55296 sq. inch.
Therefore the constraint for maximization of profit is as follows:
Space constraint: 196 X1 + 16 X2 + 25 X3 ≤ 55296 -------- (1st Constraint)
4). Formulate the constraint for financial capacity as mentioned at 1(ii) above:
The cost of 1 pizza for Julie = $6
Total cost for X1 pizza would be = $6* X1
Cost of 1 Hot dog to Julie = $0.45
Cost of X2 Hot dogs = $ 0.45 * X2
Similarly cost of X3 Barbeque sandwiches to Julie = $0.90 * X3
As she has only $1500 for purchasing food articles, and the cost of all the articles cannot exceed this amount of $1500, the constraint can be expressed as
6*X1 + 0.45 * X2 + 0.9 * X3 ≤ 1500 ------------------(2nd Constraint) The other conditions as anticipated by Julie and mentioned in problem statement
Julia Robertson, a senior at Tech, explores various options to support her final year at school and weighs the option of hiring a food booth outside the institute for football games as she knows from her personal experience that during the games, people eat lot of food.
Facts/Market survey: Before arriving at the final decision, she does some market survey and gathers the following information. Hiring cost of booth will be $1000 per game. She would be able to sell only food items from the booth and not the drinks. So depending on the popularity of the food items, she decides to sell only slices of cheese pizza, hot dogs and barbeque sandwiches. As per the eligibility conditions All food items would be sold during the …show more content…
inch = 196 sq. inch.
Facts gathered by Julie are that space requirement.
For each hot dog = 16 sq. inch
For each barbeque sandwich. = 25 sq. in
So total space requirement for storing the entire food material will be
196 X1 + 16 X2 + 25 X3.
The total space available in oven is = 55296 sq. inch.
Therefore the constraint for maximization of profit is as follows:
Space constraint: 196 X1 + 16 X2 + 25 X3 ≤ 55296 -------- (1st Constraint)
4). Formulate the constraint for financial capacity as mentioned at 1(ii) above:
The cost of 1 pizza for Julie = $6
Total cost for X1 pizza would be = $6* X1
Cost of 1 Hot dog to Julie = $0.45
Cost of X2 Hot dogs = $ 0.45 * X2
Similarly cost of X3 Barbeque sandwiches to Julie = $0.90 * X3
As she has only $1500 for purchasing food articles, and the cost of all the articles cannot exceed this amount of $1500, the constraint can be expressed as
6*X1 + 0.45 * X2 + 0.9 * X3 ≤ 1500 ------------------(2nd Constraint) The other conditions as anticipated by Julie and mentioned in problem statement