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### Assignment 3

Calculate the area which is enclosed by the lines and and the graph of the quadratic 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. 418).

### Solution

The intersection point of the graph of the quadratic function and the line is . Thus the area is equal to the area of the rectangle through the points and minus the area enclosed by the graph and the -axis, between and :

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