Postal Posts, Inc., produces and sells cedar mailbox posts to a broad market in the Western states. Demand is fairly uniform at 10,000 posts per year. The company can produce 75 posts per day, and there are 242 production days in a year. The setup cost for the production equipment is $100, and the holding cost for a post is $2 per ie

(a) How many posts should be produced in each production run?

(b) What will be the maximum inventory level if the company tries to have a minimum of 300 posts in inventory?