Choose the One Alternative That Best Completes the Statement or Answers

question 61

Multiple Choice

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

---

Definitions:

Loan Decision

The process undertaken by lenders to determine whether to make funds available to borrowers under certain terms.

Analytical Tool

Instruments or methodologies used to analyze or interpret data to make decisions or solve problems.

Benchmark Comparison

The process of comparing business metrics or performance against a standard or set of best practices to evaluate relative performance.

Profitability Analysis

Evaluation of a company's ability to generate earnings compared to its expenses over a specific period.