Megapixel is a high tech firm that makes various models of personal printers. It costs $ 1,500 to setup the production line for a specific model. The annual cost to store the printers in inventory is $ 6 per piece. The annual demand for 3-in-1 printers is 30,000 pieces and the firm has the capacity to produce 70,000 printers annually. The firm operates 250 days a year.

a)What is the optimal production quantity for the 3-in-1 model?

b)How many batches of this model they will produce in one year?

c)What is the minimum total annual inventory holding and ordering cost for this model?

d)At what daily rate inventory for this model is being replenished??