The following table gives the daily volume profile for ABC. A fund manager wants to buy $50,000$ shares between $9$:$30$ and $12$:$00$pm$,$ and seeks to buy at VWAP over that period. How many shares should she aim to buy in the fifth $30-$minute interval that span $11$:$30$ to $12$:$00$pm$?$

Interval

Avg volume

Share

$9$:$30$

$35,000$

$0\mathrm{.}14$

$10$:$00$

$30,000$

$0\mathrm{.}12$

$10$:$30$

$25,000$

$0\mathrm{.}1$

$11$:$00$

$20,000$

$0\mathrm{.}08$

$11$:$30$

$20,000$

$0\mathrm{.}08$

$12$:$00$

$15,000$

$0\mathrm{.}06$

$12$:$30$

$12,000$

$0\mathrm{.}048$

$13$:$00$

$12,000$

$0\mathrm{.}048$

$13$:$30$

$10,000$

$0\mathrm{.}04$

$14$:$00$

$10,000$

$0\mathrm{.}04$

$14$:$30$

$10,000$

$0\mathrm{.}04$

$15$:$00$

$16,000$

$0\mathrm{.}064$

$15$:$30$

$35,000$

$0\mathrm{.}14$

A$.$

$7200$

B$.$

$8214$

C$.$

$7692$

D$.$

$5686$