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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Definitions:

Shareholder Theory

The belief that the primary responsibility of a corporation is to maximize the wealth of its shareholders.

Utilitarianism

A philosophical theory that suggests the best action is the one that maximizes utility, usually defined as that which produces the greatest well-being of the greatest number of people.

Toxic Environment

Conditions in a workplace or other environment that are harmful to employees' or inhabitants' health, well-being, or performance, often due to dangerous chemicals or a hostile work culture.

Whistleblowing

The act of exposing wrongful, unethical, or illegal activities within an organization to those in authority or the general public.