A Cellular Phone Company Has a Roaming Charge of 32 $0 \leq t \leq 5$

question 60

Essay

A cellular phone company has a roaming charge of 32 cents for every minute or fraction of a minute when you are out of your zone.(a) Sketch a graph of the \out-of-your-zone" costs, C, of cellular phone usage as a function of the length of the call, t, for $0 \leq t \leq 5$ .(b) Evaluate:
(i) $\lim _ { t \rightarrow 2 ^ { - } } C ( t )$ (ii) $\lim _ { t \rightarrow 2 ^ { + } } C ( t )$ (c) Explain the significance of the left limit (i) and the right limit (ii) to the cell phone user.(d) For what values of t does C (t) not have a limit? Justify your answer.

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Definitions:

Price Level

The average of current prices across the entire spectrum of goods and services produced in the economy, often measured by inflation indicators.

Prosperity Phase

A period of economic growth and expansion, marked by high levels of production, employment, and consumer confidence.

Business Cycle

The fluctuation in economic activity that an economy experiences over a period of time.

Disinflation

A reduction in the rate of inflation, indicating a slowdown in the rate at which prices for goods and services rise.