Ngome is currently preparing the production budget for product a and the material purchase budget for material x for the forthcoming year. Each unit of product a requires $5$ kgs of material x$.$ The anticipated opening inventory for product a is $5,000$ units and the company wishes to increase the closing inventory by $30\%$ by the end of the year. The anticipated opening inventory for material x is $50,000$ kgs and in order to avoid stock outs the required closing inventory has been increased to $60,000$ kgs$.$ The sales director has confirmed a sales requirement of $70,000$ units of product a$.$ How many units of product a will need$$to$$be$$produced$?$