Sagamore Paint recently went public in a best efforts offering. The company offered $175,000$ shares of stock for sale at an offer price of $$29$ per share. The current shareholders didn't sell their shares. The management costs associated with the offering were $$415,000$ and the underwriter's spread was $6\mathrm{.}5\%.$ After completing their sales efforts, the underwriters determined that they sold a total of $168,700$ shares.

How much is the price per share received by the company?

How much are the gross proceeds?

How much are the proceeds?

How much are the net proceeds?