Programming Exercise 8.12 writes a program for computing taxes using arrays. Design a class named Tax to contain the following instance data fields:

For each filling status, there are six tax rates Each rate is applied to a certain amount of taxable income. For example, from the taxable income of $400,000 for a single filer, $8,350 is taxed at 10%, (33,950 - 8,350) at 15%, (82,250 - 33,950) at 25%, (171,550 - 82,550) at 28%, (372,550 - 82,250) at 33%, and (400,000 - 372,950) at 36%. The six rates are the same for all filling statuses, which can be represented in the following array:

double[] rate = (0.10, 0.15, 0.25, 0.28, 0.33, 0.35);

The brackets for each rate for all the filling staruses can be represented in two dimensional array a follows:

int[][] brackets = { ?{8350, 33950, 82250, 171550, 372950}, // Single filer {16700, 67900, 137C

Suppose the taxable income is $400,000 for single filers. The tax can be computed as follows:

Listing

? int filingStatus: One of the four tax-filing statuses: 0?single filer, 1? married filing jointly or qualifying widow(er), 2?married filing separately, and 3?head of household. Use the public static constants SINGLE_FILER (0), MARRIED_JOINTLY_OR_QUALIFYING_WIDOW(ER) (1), MARRIED_SEPARATELY (2), HEAD_OF_HOUSEHOLD (3) to represent the statuses.??int[][] brackets: Stores the tax brackets for each filing status.??double[] rates: Stores the tax rates for each bracket.??double taxableIncome: Stores the taxable income.Provide the getter and setter methods for each data field and the getTax() method that returns the tax. Also provide a no-arg constructor and the constructor Tax(filingStatus, brackets, rates, taxableIncome).Draw the UML diagram for the class and then implement the class. Write a test program that uses the Tax class to print the 2001 and 2009 tax tables for taxable income from $50,000 to $60,000 with intervals of $1,000 for all four statuses.The tax rates for the year 2009 were given in Table 3.2. The tax rates for 2001 are shown in Table 10.1.

Marginal Tax Rate	Single	Married Filing Jointly or Qualifying Widow(er)	Married Filing Separately	Head of Household
10%	$0 ? $8,350	$0 ? $16,700	$0 ? $8,350	$0 ? $11,950
15%	$8,351 ? $33,950	$16,701 ? $67,900	$8,351 ? $33,950	$11,951 ? $45,500
25%	$33,951 ? $82,250	$67,901 ? $137,050	$33,951 ? $68,525	$45,501 ? $117,450
28%	$82,251 ? $171,550	$137,051 ? $208,850	$68,526 ? $104,425	$117,451 ? $190,200
33%	$171,551 ? $372,950	$208,851 ? $372,950	$104,426 ? $186,475	$190,201 ? $372,950
35%	$372,951+	$372,951+	$186,476+	$372,951+

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tax = brackets[0][0] * rates[0] + (brackets[0][1] – brackets[0][0]) * rates[1] + (brackets[0][2] – brackets[0][1]) * rates[2] + (brackets[0][3] – brackets[0][2]) * rates[3] + (brackets[0][4] – brackets[0][3]) * rates[4] + (400000 – brackets[0][4]) * rates[5] 1 import java.util.Scanner; 2 3 public class ComputeTax { 4 public static void main(String[] args) { // Create a Scanner Scanner input = new Scanner(System.in); 5 // Prompt the user to enter filing status System.out.print("(0-single filer, 1-married jointly or "qualifying widow(er), 2-married separately, 3-head of "household) Enter the filing status: "); 10 11 12 13 14 15 16 17 18 19 20 21 int status - input.nextInt(); // Prompt the user to enter taxable income System.out.print("Enter the taxable income: "); double income = input.nextDouble(); // Compute tax double tax - 0; if (status == 0) { // Compute tax for single filers if (income <= 8350) tax = income * 0.10; else if (income <= 33950) tax = 8350 * 0.10 + (income - 8350) * 0.15; else if (income <= 82250) tax = 8350 * 0.10 + (33950 - 8350) * 0.15 + (income - 33950) * 0.25; else if (income <= 171550) 22 23 24 25 26 27 28 29 30 8350 * 0.10 + (33950 - 8350) * 0.15 + (82250 - 33950) * 0.25 + (income - 82250) * 0.28; 31 tax = 32