A Dietitian Is Asked to Design a Special Dietary Supplement $\left\{ \begin{array} { c } 20 x + 10 y \geq 350 \\15 x + 10 y \geq 300 \\10 x + 20 y \geq 400 \\x \geq 0 \\y \geq 0\end{array} \right.$

question 80

Multiple Choice

A dietitian is asked to design a special dietary supplement using two different foods.Each ounce of food X contains 20 units of calcium, 15 units of iron, and 10 units of vitamin B.Each ounce of food Y contains 10 units of calcium, 10 units of iron, and 20 units of vitamin B.The minimum daily requirements of the diet are 350 units of calcium, 300 units of iron, and 400 units of vitamin B.Write a system of inequalities describing the different amounts of food X and food Y that can be used.

• A) \(\left\{ \begin{array} { c }
• 20 x + 10 y \geq 350 \\
• 15 x + 10 y \geq 300 \\
• 10 x + 20 y \geq 400 \\
• x \geq 0 \\
• y \geq 0
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { c }
• 20 x + 10 y \geq 400 \\
• 15 x + 10 y \geq 350 \\
• 10 x + 20 y \geq 300 \\
• x \geq 0 \\
• y \geq 0
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { c }
• 20 x + 10 y \geq 300 \\
• 15 x + 10 y \geq 350 \\
• 10 x + 20 y \geq 400 \\
• x \geq 0 \\
• y \geq 0
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { c }
• 20 x + 10 y \geq 400 \\
• 15 x + 10 y \geq 300 \\
• 10 x + 20 y \geq 350 \\
• x \geq 0 \\
• y \geq 0
• \end{array} \right.\)
• E) \(\left\{ \begin{array} { c }
• 20 x + 10 y \geq 300 \\
• 15 x + 10 y \geq 400 \\
• 10 x + 20 y \geq 350 \\
• x \geq 0 \\
• y \geq 0
• \end{array} \right.\)

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Definitions:

Positive Babinski

A reflex action in which the big toe remains extended or extends upward when the sole of the foot is stimulated, indicating neurological abnormality.

Dorsiflexion

The movement that brings the top of the foot toward the shin, decreasing the angle between the dorsal surface of the foot and the leg.

Clonus

A neurological condition characterized by involuntary muscle spasms or contractions resulting from a series of rapid, rhythmic, and repetitive reflexes.

Brainstem Injury

Damage or trauma to the brainstem, which can affect vital functions such as breathing, heart rate, and consciousness.