Answer:
The constraints are as follows;
1) 2·x + 2·y ≤ 120
2) 3·x + 4·y ≤ 160
3) x = 2.30
4) y = 3.10
5) P = 2.3·x + 3.10
Step-by-step explanation:
The question is a word problem, with the analysis as follows;
The profit from the roast beef special per sandwich = $2.30
The profit from the turkey special per sandwich = $3.10
The number of slices of bread in the roast beef special = Two slices
The number of slices of cheese in the roast beef special = Three slices
The number of slices of bread in the turkey special = Two slices
The number of slices of cheese in the turkey special = Four slices
The number of slices of bread the deli has = 120 slices
The number of slices of cheese the deli has = 160 slices
Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;
For the number of slices of bread used;
2·x + 2·y ≤ 120...(1)
For the number of slices of cheese used;
3·x + 4·y ≤ 160...(2)
x = 2.30
y = 3.10
The profit 'P' is given by the following equation
P = 2.3·x + 3.10.
