Math Problem Statement

Suppose a​ cost-benefit model is given by f left parenthesis x right parenthesis equals StartFraction 6.2 x Over 100 minus x EndFraction ​, where​ f(x) is the​ cost, in thousands of​ dollars, of removing x percent of a given pollutant. Complete parts​ (a) through​ (c). Question content area bottom Part 1 ​(​a) Find the cost of removing each percent of​ pollutants: 50%;​ 70%; 80%;​ 90%; 95%;​ 98%; 99%. The cost of removing​ 50% of the pollutant is ​$    enter your response here. The cost of removing​ 70% of the pollutant is ​$    enter your response here. The cost of removing​ 80% of the pollutant is ​$    enter your response here. The cost of removing​ 90% of the pollutant is ​$    enter your response here. The cost of removing​ 95% of the pollutant is ​$    enter your response here. The cost of removing​ 98% of the pollutant is ​$    enter your response here. The cost of removing​ 99% of the pollutant is ​$    enter your response here.

Solution

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Math Problem Analysis

Mathematical Concepts

Rational Functions
Cost-Benefit Analysis
Algebra

Formulas

f(x) = 6.2x / (100 - x)

Theorems

Asymptotic Behavior
Limits

Suitable Grade Level

Grades 10-12