In Eclipse create a Scala project called ControlLab. Add a worksheet to this project called session. You should use library functions whenever possible.

Problem: Elbonia has a simple sliding scale income tax scheme. Your tax rate is determined by your income according to the following table:

Income------ Rate

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< $20000 -> 0%

< $30000 -> 5%

< $40000 -> 11%

< $60000 -> 23%

< $100000 -> 32%

>= $100000 -> 50%

Implement a tax calculator for the Elbonians using Scala's match expression. Your calculator should throw an InvalidIncome exception if the input is negative.