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) $$\left\{\begin{array} { c } x \geq 2 y \ 8 x + 12 y \leq 310 \ x \geq 4 \ y \geq 2 \end{array}\right.$$
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) $$\left\{ \begin{array} { c } x \geq 3 y \ 8 x + 12 y \leq 290 \ x \geq 4 \ y \geq 2 \end{array} \right.$$

Question

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) $$\left\{ \begin{array} { c } x \geq 3 y \ 8 x + 12 y \leq 290 \ x \geq 4 \ y \geq 2 \end{array} \right.$$ ​

Quizplus · Accepted Answer

The Answer of 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) $$\left\{\begin{array} { c } x \geq 2 y \ 8 x + 12 y \leq 310 \ x \geq 4 \ y \geq 2 \end{array}\right.$$ 
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) $$\left\{ \begin{array} { c } x \geq 3 y \ 8 x + 12 y \leq 290 \ x \geq 4 \ y \geq 2 \end{array} \right.$$ ​

A Store Sells Two Models of Laptop Computers {x≥2y8x+12y≤310x≥4y≥2\left\{\begin{array} { c } x \geq 2 y \\8 x + 12 y \leq 310 \\x \geq 4 \\y \geq 2\end{array}\right.⎩⎨⎧​x≥2y8x+12y≤310x≥4y≥2​

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