A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?
Answers
Answer:
Step-by-step explanation:
The roast (x) beef special uses two slices of bread and three slices of cheese.
The turkey (y) special uses two slices of bread and four slices of cheese
2x + 2y ≤ 120
=> x + y ≤ 60
3x + 4y ≤ 160
Profit = 2.3x + 3.1y
x y Profit in $
0 40 124
4 37 123.9
8 34 123.8
12 31 123.7
16 28 123.6
20 25 123.5
24 22 123.4
28 19 123.3
32 16 123.2
36 13 123.1
40 10 123
44 7 122.9
48 4 122.8
52 1 122.7
53 0 121.9