Dalia, 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 (Le., can be represented using the Poisson distribution). Cartridges cost $100 each and require three weeks to obtain from the vendor. Dalia uses a (Q, r) approach to control stock levels (a). If Dalia wants to restrict replenishment orders to twice per year on average, what batch size Q should she use? If she wants to ensure a service level (i.e., probability of having the cartridge in stock when 2 out of 2 needed) of at least 98 percent, what reorder point r should she use? (Hint: Use Table 2.6.(b). If Dalia is willing to increase the number of replenishment orders per year to six, how do Q and r change? Explain the difference in r.
Dalia, 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 (Le., can be represented using the Poisson distribution). Cartridges cost $100 each and require three weeks to obtain from the vendor. Dalia uses a (Q, r) approach to control stock levels (a). If Dalia wants to restrict replenishment orders to twice per year on average, what batch size Q should she use? If she wants to ensure a service level (i.e., probability of having the cartridge in stock when 2 out of 2 needed) of at least 98 percent, what reorder point r should she use? (Hint: Use Table 2.6.(b). If Dalia is willing to increase the number of replenishment orders per year to six, how do Q and r change? Explain the difference in r.
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