Ethelbert.com is a young software company owned by two entrepreneurs. It currently needs to raise $$400,000$ to support its expansion plans. A venture capitalist is prepared to provide the cash in return for a $40\%$ holding in the company. Under the plans for the investment, the venture capital will hold $10,000$ shares in the company, and the two entrepreneurs will have combined holdings of $15,000$ shares.

What is the total after$-$the$-$money valuation of the firm?

What value is the venture capitalist placing on each share?