4. A taxpayer may choose to be taxed under either of two tax schedules. Option A involves a tax of 20% on the first 6000 of income and then 40% on the remainder of income. Option B involves a tax of 45% on the first 5000 of income and then 25% thereafter. (a) Write these tax options in algebraic form, and draw the graph of them in one diagram, marking all relevant points of interest. (8 marks) (b) Over what range of income should a taxpayer choose option B? (3 marks) (c) A third option, C, is introduced which involves a tax rate of 30p for every 1 for all income. Add this option to your diagram. Over what range of income is this preferable? (5 marks) (d) What is the least amount of tax could be paid by: (i) A managing director who earns 250,000 per annum, (ii) a mechanic who earns 195 per month?