Question

A lunch counter sells two types of sandwiches, roast beef and chicken salad. The profit on the sandwiches is $2 for chicken salad and $3 for roast beef. The amount of bread available is enough for 30 sandwiches. There are 2 hours available to prepare sandwiches. If chicken salad sandwiches take 3 minutes to prepare and roast beef sandwiches take 5 minutes, how many of each type of sandwich should be prepared to maximize the profit? Assume all sandwiches get sold

Answer 1

For this case we define variables:
x: roast beef sandwiches
y: chicken salad sandwiches
We write the system of equations:
x + y = 30
5x + 3y = 120
Solving the system we have:
x = 15
y = 15
The profit is:
P = 3 * (15) + 2 * (15)
P = 75 $
Answer:
should be prepared to maximize the profit:
15 roast beef sandwiches
15 chicken salad sandwiches