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

Annual demand for window frames is $$10000.$$ Each frame costs Rs. $$200$$ and ordering cost is Rs. $$300$$ per order. Inventory holding cost is Rs. $$40$$ per frame per year. The supplier is willing to offer $$2\% $$ discount if the order quantity is $$1000$$ or more, and $$4\% $$ if order quantity is $$2000$$ or more. If the total cost is to be minimized, the retailer should

A company uses $$2555$$ units of an item annually. Delivery lead time is $$8$$ days. The recorder point (in number of units) to achieve optimum inventory is

In a machine shop, pins of $$15mm$$ diameter are produced at a rate of $$1000$$ per month and the same is consumed at a rate of $$500$$ per month. The production and consumption continue simultaneously till the maximum inventory is reached. Then inventory is allowed to reduced to zero due to consumption. The lot size of production is $$1000.$$ If backlog is not allowed, the maximum inventory levels is