Calculate the average collection period, average payment period, inventory turnover period and cash conversion cycle for the following firm $(1$Year $=360$ Days$)$:

Income statement data: Sales $10000,$ COGS $9000$

Balance sheet data: Inventory $1100,$ Accounts receivable $400,$ Accounts payable $600$

What effect will all the following activities have on the cash conversion cycle?

$$ the company reduces the level of inventory by $10\%,$

$$ the company changes the terms of sale and $60\%$ of customers pay after $5$ days while the remaining pay after $30$ days $($with sales on the same level$)$ and

$$ the company has extended its own payment conditions by one week.