Smith Corp has $3$ products that all require the same materials for production. The following information is provided;

Product A $-$ Max demand of $5,000$ units, each unit provides a $$10$ margin, and utilizes $5$ pounds of materials.

Product B $-$ Max demand of $7,000$ units, $$20$ margin, $2$ pounds utilized

Product C $-$ Max demand of $3,000$ units, $$30$ margin, $6$ pounds utilized

Total pounds of resources available to the company are $30,000$ pounds.

Assuming the above information without minimum requirements, what is the maximized margin for the company? How many units of each item are produced at this level?