Here's a very simple marginal tax scheme: For part of taxable but less than Tax rate income that is at least $0 $10,000 89 $10,000 $30,000 $30,000 20% 129 Consider Sophia, whose gross income is $17,000. (a) Suppose the tax scheme allows for a $1000 standard deduction. This means that Sophia's taxable income is $16,000. How much of Sophia's taxable income will be taxed at 897 1280 (b) How much of her taxable income will be taxed at 12%? () Find Sophia's total tax owed, (d) Now let's suppose instead that the standard deduction is $5000. This means Sophia's taxable income is $12,000, How much of Sophia's taxable income will be taxed at 8% now? (e) How much of her taxable income will be taxed at 1292 (1) Find Sophia's total tax owed. (9) Describe how the standard deduction affects the total tax that Sophia owes. Put another way what happens to the tax owed when the standard deduction is increased? Why is this? IE