the following table gives the daily volume profile for XYZ$.$ Aafund manager wants

to sell $20,000$ shares between $9$:$30$ and noon, and seeks to sell at VWAP over that period. how many shares should she aim to sell in each of the five $30-$minute intervals that span $9$:$30$ to $12$:$00?$

interval avg volume share

$9$:$3026,00013\%$

$10$:$0020,00010\%$

$10$:$3018,0009\%$

$11$:$0012,0006\%$

$11$:$3012,0006\%$

$12$:$0012,0006\%$

$12$:$3012,0006\%$

$13$:$0012,0006\%$

$13$:$3012,0006\%$

$14$:$0012,0006\%$

$14$:$3012,0006\%$

$15$:$0016,0008\%$

$15$:$3024,00012\%$

$200,000100\%$

please show step to step explanation