Answer:
Option A is the right answer.
Step-by-step explanation:
Given information is:
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.
If chicken salad sandwiches take 3 minutes to prepare and roast beef sandwiches take 5 minutes.
Let x represent the roast beef sandwiches.
Let y represent the chicken salad sandwiches.
The system of equations becomes:
[tex]x+y=30[/tex] or [tex]x=30-y[/tex] ..... (1)
[tex]5x+3y=120[/tex] ....(2)
Substituting (1) in (2)
[tex]5(30-y)+3y=120[/tex]
[tex]150-5y+3y=120[/tex]
[tex]150-2y=120[/tex]
[tex]150-120=2y[/tex]
[tex]2y=30[/tex]
y = 15
As [tex]x=30-y[/tex] so, [tex]x=30-15[/tex]
x = 15
Now we will see the profit;
P = [tex](3\times15)+ (2\times15)=45+30=75[/tex] dollars
Therefore, 15 roast beef sandwiches and 15 chicken salad sandwiches should be prepared to maximize the profit.
Hence, the answer is option A.
