it's from integrated production system

Question 4: (10 Points): Suppose that we would like to determine Reorder Point for the product. From the historical data the manager determined demand during lead-time for that product fits Normal distribution with a mean of 200 and standard deviation of 10 products. The maximum stock out risk is 10%. Answer the following questions according to the (Q, R) system. a) Find the safety stock if the lead time is 2 weeks. (3 Points) b) Find the reorder point. (3 Points) c) Find the reorder point if the stock out risk decreases to 1%. Comment on the result. (4 Points) Question 5: (20 Points); Assume that Bubiyan Company sells a specific product as a price of $50/product. Cost of this specific product for company is $30/product. At the end of the day, unsold product can be sold at a return price of $10. Use continuous function assumption of Newsboy model. Assume that demand for the product distributed normally at mean 20 and standard deviation 2. a) Find the Cu, Co, and the critical ratio. (6 Points) b) Find the z value for the risk. (6 Points) c) Find the order size. (8 Points) Question 6: (20 Points); Metal Gear Solid Company needs 350 metal desks per month. Fixed delivery charges and costs of receiving is about $4000 per shipment. Every desk costs $800. The firm uses a 15% interest rate. a. Find the annual demand. (4 Points) b. Find the holding cost. (8 Points) c. Find the EOQ. (8 Points)