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### Assignment 4

Calculate the area which is enclosed by the lines and and the graph of the function .

This assignment is relevant for the calculation of the Producer Surplus (see Bradley T. en Patton P., Essential Mathematics for Economics and Business, 2e ed., John Wiley, p. 416).

### Solution

The intersection point of the graph of the function and the line is . Thus the area equals the area enclosed by the graph of , and , minus the area of the rectangle through the points and .

Then we get:

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