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Solve the Problem {60x+60y30012x+6y>3610x+30y90\left\{ \begin{array} { l } 60 x + 60 y \geq 300 \\ 12 x + 6 y > 36 \\ 10 x + 30 y \geq 90 \end{array} \right.

Question 105

Multiple Choice

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) {60x+60y30012x+6y>3610x+30y90\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) {60x+60y30012x+6y3610x+30y90\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) {60x+60y>312x+6y>10x+30y>x>0y>0\left\{ \begin{array} { l } 60 x + 60 y > 3 \\ 12 x + 6 y > \\ 10 x + 30 y > \\ x > 0 \\ y > 0 \end{array} \right.

D) {60x+60y30012x+6y3610x+30y90x0y0\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.

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