Pearl Strand Company is planning to sell $400$ buckets in October, $600$ buckets in November, and $480$ buckets in December. Pearl's company policy is to have $20\%$ of next month's sales in ending finished goods inventory at end of any given month. At the beginning of October, Pearl was in compliance with the company policy.

Each bucket requires $1/4$ pound of plastic and $1/8$ hour of direct labor. Plastic costs $$16$ per pound and employees of the company are paid $$24$ per hour. Factory overhead is applied at a rate of $200\%$ of direct labor costs. Pearl keeps $10\%$ of next month's production needs on hand $($plastic$)$ and has this many pounds on hand at the beginning of October.

To be in compliance with company policy, Pearl will purchase $\_\_\_\_\_\_\_\_\_$ pounds of plastic for October. $($Do not round$)$