A Store Sells Two Models of Laptop Computers $\begin{array} { c } x \geq 2 y \\8 x + 12 y \leq 310 \\x \geq 4 \\y \geq 2\end{array}$

question 200

Multiple Choice

A store sells two models of laptop computers.Because of the demand, the store stocks at least twice as many units of model A as of model B.The costs to the store for the two models are $800 and $1200, respectively.The management does not want more than $29,000 in computer inventory at any one time, and it wants at least four model A laptop computers and two model B laptop computers in inventory at all times.Find and graph a system of inequalities describing all possible inventory levels.

• A) \(\begin{array} { c } x \geq 2 y \\ 8 x + 12 y \leq 310 \\ x \geq 4 \\ y \geq 2 \end{array}\)
• B) \(\begin{array} { c } x \geq 2 y \\ 8 x + 12 y \leq 290 \\ x \geq 4 \\ y \geq 2 \end{array}\)
• C) \(\left\{ \begin{array} { c } x \geq y \\ 8 x + 12 y \leq 290 \\ x \geq 4 \\ y \geq 2 \end{array} \right.\)
• D) \(\begin{array} { c } x \geq 2 y \\ 8 x + 12 y \leq 290 \\ x \geq 2 \\ y \geq 2 \end{array}\)
• E) \(\left\{ \begin{array} { c } x \geq 3 y \\ 8 x + 12 y \leq 290 \\ x \geq 4 \\ y \geq 2 \end{array} \right.\)

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