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The Predicted Cost C (In Thousands of Dollars)for a Company C=124p90,000p2,0p<100C = \frac { 124 p } { 90,000 - p ^ { 2 } } , 0 \leq p < 100

Question 4

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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=124p90,000p2,0p<100C = \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) 1300p1300+p\frac { 1 } { 300 - p } - \frac { 1 } { 300 + p }
B) 124300p124300+p\frac { 124 } { 300 - p } - \frac { 124 } { 300 + p }
C) 62300p62(300p) 2\frac { 62 } { 300 - p } - \frac { 62 } { ( 300 - p ) ^ { 2 } }
D) 62300p62300+p\frac { 62 } { 300 - p } - \frac { 62 } { 300 + p }
E) 62300p+62300+p\frac { 62 } { 300 - p } + \frac { 62 } { 300 + p }

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