The Cost Function for a Company to Recycle X Tons $C = 1.27 x + 10,540$

question 177

Multiple Choice

The cost function for a company to recycle x tons of material is given by $C = 1.27 x + 10,540$ ,where C is measured in dollars.Write a model for the average cost per ton of material recycled and also find the average costs of recycling 110 tons of material and 1040 tons of material.(Round your answer to two decimal places. )

• A) \(\bar { C } = \text { average cost } = 1.27 - \frac { 10,540 } { x }\) \(\bar { C } ( 110 ) = \$ 97.09\) \(\bar { C } ( 1040 ) = \$ 11.40\)
• B) \(\bar { C } = \text { average cost } = 1.27 + \frac { 10,540 } { x }\) \(\bar { C } ( 110 ) = \$ 97.09\) \(\bar { C } ( 1040 ) = \$ 11.40\)
• C) \(\bar { C } = \text { average cost } = 10,540 - \frac { 1.27 } { x }\) \(\bar { C } ( 110 ) = \$ 97.09\) \(\bar { C } ( 1040 ) = \$ 97.09\)
• D) \(\bar { C } = \text { average cost } = 1.27 + \frac { 10,540 } { x }\) \(\bar { C } ( 110 ) = \$ 11.40\) \(\bar { C } ( 1040 ) = \$ 97.09\)
• E) \(\bar { C } = \text { average cost } = 10,540 + \frac { 1.27 } { x }\) \(\bar { C } ( 110 ) = \$ 97.09\) \(\bar { C } ( 1040 ) = \$ 97.09\)

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Definitions:

Rawlsian Justice

A theory of justice that emphasizes fairness and equality, positing that a just society will protect the least advantaged members.

Human Dignity

A fundamental concept that involves the inherent worth and respect that every individual deserves, irrespective of status, abilities, or accomplishments.

Profit Maximization

The process or strategy focused on increasing the profit of a business to its highest possible level given the constraints it faces.

Servicing Model

A union representation approach focused on directly addressing and managing individual member needs and grievances, as opposed to broader collective bargaining strategies.