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 h

Question

8 days ago

10

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 h

er marinara sauce requires 5 tomatoes and 1.25 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?

Mathematics

2 answers:

Zina [3.9K] · Answer 1 · 2026-02-25T17:25:23+03:00

Zina [3.9K]8 days ago

7 0

By sketching a diagram of the requirements for creating 1 quart of both Tuscan and Marinara sauces, you can more easily select option (B) 6x + 5y <= 45, x + 5/4y <= 10, x>=0, y>=0.

Svet_ta [4.3K] · Answer 2 · 2026-02-25T17:25:29+03:00

Let x denote the quarts of Tuscan sauce and

y denote the quarts of marinara sauce that Tiffany produces.

Each quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil

Hence, x quarts need 6x tomatoes and 1x cups of oil

For marinara sauce, a quart requires 5 tomatoes and 1.25 cups of oil

Thus, y quarts will require 5y tomatoes and 1.25y cups of oil

She has a stock of 45 tomatoes and 10 cups of oil available.

The constraints are:

$6x + 5y$

$1x + 1.25y < = 10$

x>=0 and y>=0