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. Determine the optimal production quantity for the 3-in-1 model

b. What is the maximum inventory held?

c. How many batches of this model they will produce in one year?

d. What is the total annual inventory cost for this model?

e. At what rate inventory for this model is being replenished?

f. Other models are produced in the same production line. When a batch of 3-in-1 model is

completed, how much time we can allocate the production line for another model without disturbing our cycles for the 3-in-1 model?