Jill, the office manager of a desktop publishing outfit, stocks replacement toner cartridges for laser printers. Demand for cartridges is approximately 30 per year and is quite variable (i. E., can be represented by the poisson distribution). Cartridges cost $100 each and require 3 weeks to obtain from the vendor. Jill uses a (q, r ) approach to control stock levels. (a) if jill wants to restrict replenishment orders to twice per year on average, what batch size q should she use