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The Average Number of Vehicles Waiting in Line at a Toll

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The average number of vehicles waiting in line at a toll booth of a super highway is modeled by the function n(x) =x20.5(1x) \mathrm { n } ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } } { 0.5 ( 1 - \mathrm { x } ) } , where x is a quantity between 0 and 1 known as the traffic intensity. To the nearest tenth, find the average number of vehicles waiting if the traffic intensity is .81.


Definitions:

Actual Labor-Hours

Actual labor-hours represent the real number of labor hours worked by employees, as opposed to planned or estimated hours, often used in productivity and costing analyses.

Direct Material Standards

The anticipated cost and quantity of materials required for the production of goods or services.

Actual Cost

Actual cost refers to the exact amount of expenses incurred for producing a product or performing a service, contrasted with estimated or budgeted costs.

Standard Cost System

An accounting system that uses predetermined costs for product costing and decision making, facilitating budgeting and variance analysis.

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