Solve the Problem $$\begin{array} { l } 13 x + 5 y \geq 45 \\24 x + 35 y \geq 58\end{array}$$

Solve the problem.
-A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. The dietician is bound by the following constraints.
· Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.
· Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.
· The minimum daily requirements for the patients under the dietitian's care are 45 grams of protein and
58 grams of carbohydrates.
Let x = the number of ounces of chicken and y = the number of ounces of potatoes purchased per patient.
Write a system of inequalities that describes these constraints.

A)
$$\begin{array} { l } 13 x + 5 y \geq 45 \\24 x + 35 y \geq 58\end{array}$$
B)
$$\begin{array} { r } 13 x + 24 y \geq 45 \\5 x + 35 y \geq 58\end{array}$$

C)
$$13 x + 5 y \geq 58$$
$$24 x + 35 y \geq 45$$

D)
$$\begin{array} { r } 13 x + 24 x \geq 45 \\5 y + 35 y \geq 58\end{array}$$