Assume the following income tax scheme that was in the UK until 2013: Marginal tax rate Income bracket 0% (\"personal allowance") 0 - 12,500 20% ("basic rate") 12,500 - 50,000 40% (\"higher rate") 50,000 150,000 45% ("additional rate") > 150,000 So for example, if you earn 45,000 a year, you will pay no tax on the first 12,500 and 20% tax on the rest of your salary (32500). In 2013, the government was thinking about changing this tax scheme by dropping the personal allowance to those who earn more than 100,000, implying the following changes to marginal rates for different income groups: Total removal at 100,000 Marginal In rat. Income 5 HM\" hm at 100,000 Personal allowance: 0% 0 - 12,500 Higher rate; 4096 E50301 ' \"SO-00 375\") _ 150,000 Additional rate: 45% 7' \"SQWO > E1501!\" To evaluate what the implications of this change might be on the behaviour of workers consider two workers, one earning 100,000 and the second earning 100,001. For each of these workers calculate how much taxes they pay. From your calculations, what is the actual increase in taxes paid when the income increases by one pound from 100,000? What is the implied marginal tax rate? What kind of effect can this scheme have on workers' choices of how much to work