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

question 33

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