A Container Holds 3 Liters of a 25% Brine Solution $C = \frac { 3 + 2 x } { 12 + 3 x } . \text { Find } \lim _ { x \rightarrow \infty } C . \text { Round your answer to two decimal }$

question 139

Multiple Choice

A container holds 3 liters of a 25% brine solution. A model for the concentration C of the mixture after adding x liters of a 0.67 % brine solution to the container and then draining x liters
Of the well-mixed solution is given as $C = \frac { 3 + 2 x } { 12 + 3 x } . \text { Find } \lim _ { x \rightarrow \infty } C . \text { Round your answer to two decimal }$ places.

• A) \(1.00 \%\)
• B) \(0.17 \%\)
• C) \(0.70 \%\)
• D) \( 0.67 \%\)
• E) \(0.25 \%\)

Identify and analyze the characteristics of different utility functions, including quasilinear, homothetic, and perfect substitutes.

Evaluate consumer choices and trade-offs using marginal rate of substitution (MRS) and indifference curves.

Calculate the effects of changes in consumption on utility levels.

Distinguish between various forms of utility functions and their implications on consumer behavior.

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Definitions:

Price

The sum of money needed to buy a product, service, or property.

Total Revenue

The total amount of money generated by a business from the sale of goods or services before any expenses are deducted.

Graph

A visual representation of data, relationships, or functions, often using lines, bars, or points to simplify and convey complex information.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers at various prices.