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
Accepted Solution
A:
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