Monetary Authority of Singapore $($MAS$)$ is going to offer $$250$ million $($face value$)$ of $6-$month T$-$bills in an uniform$-$price auction.

A & B submitted non$-$competitive bids: A bids for $$75$ million, B bids for $$75$ million.

C$,$ D$,$ E$,$ and F submitted competitive bids: C bids for $$50$ million at $3\%,$ D bids for $$30$ million at $3\%,$ E bids for $$100$ million at $2\%,$ and F bids for $$20$ million at $3\mathrm{.}5\%.$

Q$.$ What is the amount of T$-$bills that C will be allotted and what is the yield that C will pay for the T$-$bills if the allotment is positive?

A$)$ C will be allotted $$50$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $2\%$ yield.

B$)$ C will be allotted $$50$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $3\%$ yield.

C$)$ C will be allotted $$50$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $3\mathrm{.}5\%$ yield.

D$)$ C will be allotted $$31\mathrm{.}25$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $2\%$ yield.

E$)$ C will be allotted $$31\mathrm{.}25$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $3\%$ yield.

F$)$ C will be allotted $$31\mathrm{.}25$ million $($face value$)$ of T$-$bills and A will pay for the T$-$bills at $3\mathrm{.}5\%$ yield.

G$)$ C will not be allotted any T$-$bills.