(a) Explanation Given Information: The cost benefit equation, T ( x ) = − 0.642 − 189 ln ( 1 − x ) describes the approximation tax T ( x ) in dollars per ton, that would result in x % carbon dioxide emissions. Calculation: Consider the cost benefit equation, T ( x ) = − 0.642 − 189 ln ( 1 − x ) . Substitute x = 0.25 in the above equation to get, T ( x ) = − 0 (b) To determine The reason as why the equation T ( x ) = − 0.642 − 189 ln ( 1 − x ) that describes the approximation tax T ( x ) in dollars per tonis not valid for x = 0 or x = 1 .

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ISBN: 9781323910528

Author: Lial

Publisher: PEARSON C

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Chapter 12.5, Problem 53E

(a)

To determine

To calculate: The tax which will reduce carbon dioxide emissions by 25% where the cost benefit equation is T(x)=−0.642−189ln(1−x).

(b)

To determine

The reason as why the equation T(x)=−0.642−189ln(1−x) that describes the approximation tax T(x) in dollars per tonis not valid for x=0 or x=1.

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Chapter 12.5, Problem 52E

Chapter 12.5, Problem 54E

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The tax which will reduce carbon dioxide emissions by 25 % where the cost benefit equation is T ( x ) = − 0.642 − 189 ln ( 1 − x ) .

Solution Summary: The author explains the cost benefit equation, T(x)=-0.642-189mathrmln(1-x), which describes the approximation tax