Problem $1$: Pay Uncle Sam

Last year you made $$150,000$ and your spouse made $$60,000.$ The tax schedule for single filers and married couples is given below:

$\backslash$table$[[$SINGLE FILER,FILLING JOINTLY$],[$Tax rate,Income Bracket,Tax rate,Income Bracket$],[10\%,$$$0-10,000,10\%,$$$0-20,000],[12\%,$$$10,001-40,000,12\%,$$$20,001-84,000],[22\%,$$$40,001-90,000,22\%,$$$84,001-178,000],[24\%,$$$90,001-170,000,24\%,$$$178,001-340,000],[32\%,$$$170,001-216,000,32\%,$$$340,001-432,000],[35\%,$$$216,001-540,000,35\%,$$$432,001-647,000],[37\%,$$$540-001$ and above,$37\%,$$$647,001$ and above$]]$

Estimate your average and marginal tax rate.

Estimate the average and marginal tax rate of your spouse.

Estimate your average and marginal tax rate if you file jointly with your spouse.

How much will you save on taxes if you decide to file jointly $($compared to the two spouses filing separately$)?$