plz answer the complete question with it's 5 parts. I will upvote you. thanks..

reviewing the inventory policy for one popular model. Ricky have determined that the monthly demand is normally distributed, with a mean of 25 bicycles and a standard deviation of 5 bicycles. The cost of carrying one bicycle in inventory is 25% per year, and each time Ricky places an order it costs 10. The purchase price of a bicycle is 350, and each time a stock out occurs, a stock out cost of 500 must be considered. The lead-time to receive an order for this model from the manufacturer is normally distributed, with a mean of 5 days and a standard deviation of 1 day. Ricky wants to guarantee a probability of being in stock during the lead-time of 95%. Please consider 20 days per month. 1.1. (4.0 points) Help Ricky designing a reorder point control system for this item, given the assigned probability of being in stock. How would you state the inventory control policy? 1.2. (3.0 points) Determine the relevant costs (procurement, carrying, and stock out costs) of this inventory policy. 1.3. (1.0 points) Determine the average inventory level (AIL). 1.4. (1.0 points) What service level (fill rate) do Ricky actually achieve with this policy? 1.5. (3.0 points) Do you think the in stock probability is correctly specified to minimize the total cost Consider that back ordering is allowed