A food processing company uses $$25,000$$ $$kg$$ of corn flour every year. The quantity-discount price of corn flour is provided in the table below:

The order processing charges are Rs. $$500$$/order. The handling plus carry-over charge on an annual basis is $$20\% $$ of the purchase price of the corn flour per $$kg$$. The optimal order quantity (in $$kg$$) is __________.

The annual demand for an item is $$10,000$$ units. The unit cost is Rs. $$100$$ and inventory carrying charges are $$14.4\% $$ of the unit cost per annum. The cost of one procurement is Rs. $$2000.$$ The time between two consecutive orders to meet the above demand is _______ month(s).

The annual requirement of rivets at a ship manufacturing company is $$2000$$ $$kg.$$ The rivets are supplied in units of 1 kg costing Rs. $$25$$ each. If it costs Rs. $$100$$ to place an order and the annual cost of carrying one unit is $$9\% $$ of its purchase cost, the cycle length of the order (in days) will be _______________

A manufacturer can produce $$12000$$ bearings per day. The manufacturer received an order of $$8000$$ bearings per day from a customer. The cost of holding a bearing in stock is Rs. $$0.20$$ per month. Setup cost per production run in Rs.$$500.$$ Assuming $$300$$ working days in a year, the frequency of production run should be