DRK$,$ Incorporated, has just sold $50,000$ shares in an initial public offering. The underwriter$$s explicit fees were $$30,000.$ The offering price for the shares was $$70,$ but immediately upon issue, the share price jumped to $$71\mathrm{.}00.$

Required:

a$.$ What is the total cost to DRK of the equity issue?

b$.$ Is the entire cost of the underwriting a source of profit to the underwriters?