The Predicted Cost C (In Thousands of Dollars) for a Company

question 229

Multiple Choice

The predicted cost C (in thousands of dollars) for a company to remove p% of a chemical from its waste water is given by the model $C = \frac { 124 p } { 90,000 - p ^ { 2 } } , 0 \leq p < 100$ .
Write the partial fraction decomposition for the rational function.Verify your result by using the table feature of a graphing utility to create a table comparing the original function with the partial fractions.

• A) \(\frac { 1 } { 300 - p } - \frac { 1 } { 300 + p }\)
• B) \(\frac { 124 } { 300 - p } - \frac { 124 } { 300 + p }\)
• C) \(\frac { 62 } { 300 - p } - \frac { 62 } { ( 300 - p ) ^ { 2 } }\)
• D) \(\frac { 62 } { 300 - p } - \frac { 62 } { 300 + p }\)
• E) \(\frac { 62 } { 300 - p } + \frac { 62 } { 300 + p }\)

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