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

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

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

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

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