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 49

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.
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• 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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Definitions:

Jointly Exhaustive

A set of options or propositions is considered jointly exhaustive when it covers all possible scenarios or outcomes, leaving no possibility unaddressed.

Mutually Exclusive

Describing two or more events or conditions that cannot occur or be true at the same time.

Consistent Principle

A concept or rule that remains uniform and unchanged across different contexts or situations, ensuring coherence and reliability in application.

Essential Attributes

Essential attributes refer to the fundamental or inherent qualities that define the nature of something.