Question

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and mc019-1.jpg cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce. Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?

Answer 1

From the problem,
x is the number of quarts of Tuscan sauce and
y is the number of quarts of marinara sauce

We add the following variables
t as the number of tomatoes
c as the number of cups of oil
z is the total profit

The constraints are the following
x = 6t + c
y =5t + 3c
6t + 5t ≤ 45
c + 3c ≤ 10
z = 4x + 5y
where z is to be maximized

Answer 2

It is B.) on e2020 i just took the test