The following table shows the U.S. rates of personal tax as of the year 2016, and these tax rates presented in this table are marginal tax rates. (This is Table 3.7 on Page 74 of your textbook.)

Single Taxpayers	Married Taxpayers Filing Joint Returns	Tax Rate (%)
0-$9,275	0-$18,550	10.0
$9,276-$37,650	$18,551-$75,300	15.0
$37,651-$91,150	$75,301-$151,900	25.0
$91,151-$190,150	$151,901-$231,450	28.0
$190,151-$413,350	$231,451-$413,350	33.0
$413,351-$415,050	$413,351-$466,950	35.0
$415,051 and above	$466,951 and above	39.6

Based on this table, answering the following questions:

(Please show your intermediate processes, instead of just a final number for your answers. Only round your final answers to two decimal places.)

(a1) Suppose there is a person called Alpha who has an annual income of $300,000 and Alphas spouse has an annual income of $20,000. What dollar amount of tax do Alpha and Alphas spouse each need to pay respectively, if they choose to file their taxes separately? What dollar amount of tax do they need to pay if they choose to file their taxes jointly?

(a2) What are the average tax rates for Alpha and Alphas spouse respectively, if they choose to file separately? What is the average tax rate if they choose to file jointly?

(b1) Suppose there is another person called Beta who has an annual income of $160,000 and Betas spouse also has an annual income of $160,000. What dollar amount of tax do Beta and Betas spouse each need to pay respectively, if they choose to file their taxes separately? What dollar amount of tax do they need to pay if they choose to file their taxes jointly?

(b2) What are the average tax rates for Beta and Betas spouse respectively, if they choose to file separately? What is the average tax rate if they choose to file jointly?

(c) Based on what you obtained from (a1) to (b2), what are the conclusions you could infer regarding the ways of filing taxes? (What are the advantages and disadvantages of these two ways?)