A Small Company That Manufactures Two Models of Exercise Machines

question 47

Multiple Choice

A small company that manufactures two models of exercise machines has an order for 17 units of the standard model and 18 units of the deluxe model.The company has trucks of two different sizes that can haul the products,as shown in the table. $$\begin{array} { | l | l | l | } \hline \text { Truck } & \text { Standard } & \text { Deluxe } \\\hline \text { Large } & 6 & 3 \\\hline \text { Medium } & 4 & 6 \\\hline\end{array}$$
Find and graph a system of inequalities describing the numbers of trucks of each size that are needed to deliver the order.

• A) \[\left\{ \begin{array} { c } 6 x + 4 y \geq 17 \\ 3 x + 6 y \geq 18 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\] ​ ​
• B) \[\left\{ \begin{array} { c } 6 x + 4 y \geq 16 \\ 3 x + 6 y \geq 18 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\] ​ ​
• C) \[\left\{ \begin{array} { c } 6 x + 4 y \geq 18 \\ 3 x + 6 y \geq 18 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\] ​
• D) \[\left\{ \begin{array} { c } 6 x + 4 y \geq 14 \\ 3 x + 6 y \geq 18 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\] ​ ​
• E)​ \[\left\{ \begin{array} { c } 6 x + 4 y \geq 20 \\ 3 x + 6 y \geq 18 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\] ​