AL manufactures 490,000 wheels per year for popular truck series. The firm makes its own wheels, which it can produce at a rate of 7000 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $12 per wheel a year. Setup cost for a production run of wheels is $420. The firm operates 260 days per year. (15 points)
(a) What is the Economic Production Quantity (EPQ) for this case?
(b) What is the maximum inventory level?
(c) What is the total annual costs for inventory holding and setup?
(d) [Challenging Question] What is the cycle time for the optimal production run size? (Hint: a run of wheels will be made every OO days.)
(e) [Challenging Question] What is the run time of each production? (Hint: each production run will require OO days to complete.)