Solve the Problem $C ( x ) = \frac { 500 x } { 140 - x }$

question 272

Multiple Choice

Solve the problem.
-A power company burns coal to generate electricity. The cost C x (in $1000) to remove x% of the air pollutants is given by: $C ( x ) = \frac { 500 x } { 140 - x }$
a. Compute the cost to remove 25% of the air pollutants.
b. If the power company budgets $1.4 million for pollution control, what percentage of the air Pollutants can be removed?

• A) a. \(\frac { 2500000 } { 23 }\)
• b. \(135.17 \%\)
• B) a. \(\frac { 2500 } { 23 }\)
• b. \(135.17 \%\)
• C) a. \(\frac { 2500 } { 23 }\)
• b. \(103.16 \%\)
• D) a. \(\frac { 2500000 } { 23 }\)
• b. \(103.16 \%\)

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Definitions:

Market

A place or platform where buyers and sellers meet to trade goods, services, or financial instruments.

Lower-of-cost-or-market

An accounting principle that requires inventory to be recorded at the lower of its original cost or current market value, ensuring assets are not overstated on the balance sheet.

Balance Sheet

A documentation of a company’s financial position, showcasing assets, liabilities, and the equity held by shareholders at a particular instance.

Lower-of-cost-or-market

An accounting principle that valuables inventory at the lower cost between the original purchase cost and its current market price.