Choose the One Alternative That Best Completes the Statement or Answers

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin $A$ , and 90 units of vitamin $C$ daily. A cup of dietary drink $X$ provides 60 calories, 12 units of vitamin $A$ , and 10 units of vitamin C. A cup of dietary drink $Y$ provides 60 calories, 6 units of vitamin $A$ , and 30 units of vitamin $C$ . Set up a system of linear inequalities that describes the minimum daily requirements for calories and vitamins. Let $x =$ number of cups of dietary drink $X$ , and $y =$ number of cups of dietary drink $Y$ . Write all the constraints as a system of linear inequalities.

A) $\left\{ \begin{array} { l } 60 x + 60 y \geq 300 \\ 12 x + 6 y > 36 \\ 10 x + 30 y \geq 90 \end{array} \right.$

B) $\left\{ \begin{array} { l } 60 x + 60 y \leq 300 \\ 12 x + 6 y \leq 36 \\ 10 x + 30 y \leq 90 \end{array} \right.$

C) $\left\{ \begin{array} { l } 60 x + 60 y > 300 \\ 12 x + 6 y > 36 \\ 10 x + 30 y > 90 \\ x > 0 \\ y > 0 \end{array} \right.$

D) $\left\{ \begin{array} { l } 60 x + 60 y \geq 300 \\ 12 x + 6 y \geq 36 \\ 10 x + 30 y \geq 90 \\ x \geq 0 \\ y \geq 0 \end{array} \right.$