Answer :
Final answer:
Ruff needs to solve a system of equations to determine the optimal amount of chicken and grain to use in each bag of dog food and minimize cost.
Explanation:
To minimize the cost of dog food, Ruff needs to determine the optimal amount of chicken and grain to use in each bag. Let's assume Ruff uses x ounces of chicken and y ounces of grain in each bag.
Based on the given information, the total protein in the bag of dog food should be at least 226 grams. Since chicken has 10 grams of protein per ounce and grain has 2 grams of protein per ounce, the protein equation can be written as:
10x + 2y ≥ 226
Similarly, the total fat in the bag of dog food should be at least 156 grams. Since chicken has 5 grams of fat per ounce and grain has 2 grams of fat per ounce, the fat equation can be written as:
5x + 2y ≥ 156
Ruff wants to minimize the cost of the dog food, which is directly related to the cost of the ingredients used. The cost of chicken is $11 per ounce, but the cost of grain is not provided in the question. Let's assume the cost of grain is $c per ounce.
The cost equation can be written as:
11x + cy = Cost
To find the optimal amount of chicken and grain, Ruff needs to solve this system of equations:
10x + 2y ≥ 226
5x + 2y ≥ 156
11x + cy = Cost
By solving this system of equations, Ruff can determine the number of ounces of chicken and grain to use in each bag of dog food to minimize cost.
Learn more about minimizing cost of dog food by using chicken and grain here:
https://brainly.com/question/26801891
#SPJ14
Final answer:
Ruff needs to solve a system of equations to determine the optimal amount of chicken and grain to use in each bag of dog food and minimize cost.
Explanation:
To minimize the cost of dog food, Ruff needs to determine the optimal amount of chicken and grain to use in each bag. Let's assume Ruff uses x ounces of chicken and y ounces of grain in each bag.
Based on the given information, the total protein in the bag of dog food should be at least 226 grams. Since chicken has 10 grams of protein per ounce and grain has 2 grams of protein per ounce, the protein equation can be written as:
10x + 2y ≥ 226
Similarly, the total fat in the bag of dog food should be at least 156 grams. Since chicken has 5 grams of fat per ounce and grain has 2 grams of fat per ounce, the fat equation can be written as:
5x + 2y ≥ 156
Ruff wants to minimize the cost of the dog food, which is directly related to the cost of the ingredients used. The cost of chicken is $11 per ounce, but the cost of grain is not provided in the question. Let's assume the cost of grain is $c per ounce.
The cost equation can be written as:
11x + cy = Cost
To find the optimal amount of chicken and grain, Ruff needs to solve this system of equations:
10x + 2y ≥ 226
5x + 2y ≥ 156
11x + cy = Cost
By solving this system of equations, Ruff can determine the number of ounces of chicken and grain to use in each bag of dog food to minimize cost.
Learn more about minimizing cost of dog food by using chicken and grain here:
https://brainly.com/question/26801891
#SPJ14
