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) \(\frac { 62 } { 300 - p } + \frac { 62 } { 300 + p }\)

---

Definitions:

Period of Unemployment

The duration during which an individual is without a job and actively seeking work.

Dominance

A social or biological concept referring to the power or influence of one individual over others within a group or situation.

Less Smoking

A trend or effort towards reducing the number of cigarettes consumed or quitting smoking altogether.

Big Five Domains

Refers to the five key categories or dimensions used to describe human personality in the Big Five model: openness to experience, conscientiousness, extraversion, agreeableness, and neuroticism.