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Last Monday We Hired a Typist to Work from 8am

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Last Monday we hired a typist to work from 8am to 12 noon.His typing speed decreased between 8am and his 10am cup of coffee, and increased again afterwards, between 10am and noon.His instantaneous speed (measured in characters per second)was measured each hour and the results are given below:
 Time 8 am 9 am 10 am 11 am 12 noon  Speed 64135\begin{array}{lccccc}\text { Time } & 8 \text { am } & 9 \text { am } & 10 \text { am } & 11 \text { am } & 12 \text { noon } \\\text { Speed } & 6 & 4 & 1 & 3 & 5\end{array} You want to estimate the total number of characters typed between 8am and 12 noon.Find an upper estimate using Reimann sums.


Definitions:

Transfer of Income

Transfer of income involves reallocating earnings from one party to another, often through government policies such as subsidies or taxes.

Positive Economics

A branch of economics that seeks to describe and explain the behavior of the economy or economic phenomena without making judgments on whether the outcomes are good or bad.

Income Distribution

The way in which total income is shared among the population or different groups within the society.

In-kind Benefits

Non-cash assistance provided by governments or organizations, such as food, housing, or medical services, aimed at improving welfare.

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