Aditya is a general surgeon with his own practice in Kitchener, Ontario. His accountant has set up a professional corporation for him. In $2020,$ Aditya earned $$600,000.$ His personal federal tax rate is $30\%.$ His accountant left $$450,000$ in the corporation, and Aditya took the remaining $$150,000.$ How much tax is payable on the $$450,000$ left in the corporation?

a$.$

$$47,250.$

b$.$

$$135,000.$

c$.$

$$180,000.$

d$.$

$$40,500.$