In the highly prosperous nation of 'W', the income tax system is structured as follows: a. Individuals earning up to $2200 are taxed at a flat rate of 10% of their income. b. For those with incomes exceeding $2200 and up to $8945, the taxation scheme is bifurcated: The first $2200 of income is taxed at 10%. The remainder, above $2200 and up to $8945, is taxed at a rate of 18.5%. c. If an individual's income surpasses $8945, the taxation policy is delineated as follows: The initial $2200 of income is taxed at 10%. The subsequent income, above $2200 and up to $8945, is taxed at 18.5%. Any income exceeding $8945 is taxed at a rate of 30%. Based on the above scenario, answer the following questions: (i) Represent the above rule that country W has made as a piecewise function mathematically using the symbol ≤ or any other relevant symbol. (ii) Take any income that comes in each slab from the country W and calculate the tax for each segment.