The maximum level of inventory of item is $$100$$ and it is achieved with infinite replenishment rate. The inventory becomes zero over one and half month due to consumption at a uniform rate. This cycle continuous throughout the year. Ordering cost is Rs.$$100$$ per order and inventory carrying cost is Rs. $$10$$ per item per month. Annual cost (in Rs. ) of the plan, neglecting material cost, is

A stockist wishes to optimize the number of perishable items he needs to stock in any month in his store. The demand distribution for this perishable item is: The stockist pays Rs.$$70$$ for each item and he sells each at Rs.$$90.$$ if the stock is left unsold in any month, he can sell the item at Rs.$$50$$ each. There is no penalty for unfulfilled demand. To maximize the expected profit, the optimal stock level is:

Consider the following data for an item.
Annual demand: $$2500$$ units per year Ordering cost: Rs.100 per order Inventory holding rate: $$25\% $$ of unit price. The optimum order quantity (in units) is:

Price quoted by a supplier

The optimum order quantity (in units) is

The distribution of lead-time demand fro an item is as follows:

The reorder level is $$1.25$$ times the expected value of the lead-time demand. The service level is