A Warehouse Supervisor Is Told to Ship at Least 50 $\left\{ \begin{array} { c } 55 x + 70 y \leq 9,500 \\x \geq 50 \\y \geq 40\end{array} \right.$

question 286

Multiple Choice

A warehouse supervisor is told to ship at least 50 packages of gravel that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each.The maximum weight capacity of the truck to be used is 9,500 pounds.Find and graph a system of inequalities describing the numbers of bags of stone and gravel that can be shipped.

• A) \(\left\{ \begin{array} { c } 55 x + 70 y \leq 9,500 \\ x \geq 50 \\ y \geq 40 \end{array} \right.\)
• B) \(\left\{ \begin{array} { c } 55 x + 70 y \leq 7,000 \\ x \geq 50 \\ y \geq 40 \end{array} \right.\)
• C) \(\left\{ \begin{array} { c } 55 x + 70 y \leq 8,000 \\ x \geq 50 \\ y \geq 40 \end{array} \right.\)
• D) \(\left\{ \begin{array} { c } 55 x + 70 y \leq 10,000 \\ x \geq 50 \\ y \geq 40 \end{array} \right.\)
• E) \(\left\{ \begin{array} { c } 55 x + 70 y \leq 8,500 \\ x \geq 50 \\ y \geq 40 \end{array} \right.\)

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