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

question 205

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

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Definitions:

Fixed Cost Element

A cost that does not vary with the level of production or sales, such as rent, salaries, and insurance expenses.

Mixed Cost

A cost that contains both fixed and variable components and changes with the level of activity, but not proportionately.

CVP Analysis

Cost-Volume-Profit (CVP) analysis is a managerial accounting technique used to determine the effects of changes in costs and volume on a company's profits.

Variable

An element, feature, or factor that is likely to vary or change; used in various contexts, including mathematical equations and statistical models.