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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