Orie and Jane, husband and wife, operate a sole proprietorship. They expect their taxable income next year to be $$450,000,$ of which $$250,000$ is attributed to the sole proprietorship. Orie and Jane are contemplating incorporating their sole proprietorship. $($Use the tax rate schedule.$)$

Required:

a$.$ Using the married$-$joint tax brackets and the corporate tax rate, find out how much current tax this strategy could save Orie and Jane.

b$.$ How much income should be left in the corporation?