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

B)$ \begin{array}{l}
60 x+60 y300 \
12 x+6 y36 \
10 x+30 y90 \
x0 \
y0
\end{array}$

C)$\begin{array}{l}
60 x+60 y \geq 300 \
12 x+6 y36 \
10 x+30 y \geq 90
\end{array}$

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

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

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

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

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

Quizplus · Accepted Answer

The first three inequalities represent the minimum daily requirements for calories and vitamins, and they are all greater than or equal to the required amount. The last two inequalities ensure that x and y cannot be negative, which is a reasonable assumption in this situation. Choice B is incorrect because the strict inequalities do not include the possibility of meeting the exact requirements. Choice C is incorrect because the second inequality is strict and does not allow for meeting the exact requirement for vitamin A. Choice D is incorrect because all the inequalities are less than or equal to the required amount, which is not appropriate for representing minimum requirements.

Solve the Problem 60x+60y≥30012x+6y≥3610x+30y≥90x≥0y≥0\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}60x+60y≥30012x+6y≥3610x+30y≥90x≥0y≥0​

Solve the Problem $\begin{array}{l}60 x+60 y \geq 300 \\12 x+6 y \geq 36 \\10 x+30 y \geq 90 \\x \geq 0 \\y \geq 0\end{array}$