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

Question
Answer:
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
solved
general 10 months ago 8758