Assume the Bureau of Fiscal Service of the U$.$S$.$ Treasury plans to issue $$100$ million of $26-$week Treasury Bills using a Dutch auction system. They received $$20$ million in non$-$ competitive bids. They also received the following competitive bids:

a$.$ $$250,000$ at $4\mathrm{.}1\%$

b$.$ $$300,000$ at $3\mathrm{.}9\%$

c$.$ $$35,000,000$ at $3\mathrm{.}8\%$

d$.$ $$20,000,000$ at $3\mathrm{.}7\%$

e$.$ $$15,000,000$ at $3\mathrm{.}6\%$

What rate will the U$.$S$.$ Treasury pay for this issue of T$-$Bills?