Roy's Glassic Glasses has four warehouses, called North, South, East, and West. Each warehouse faces a daily demand that is normally distributed. The daily demand at each warehouse is independent of the other warehouses, has a mean of 100 cartons, and a standard deviation of 10 cartons.

Roy's Glassic Glasses is thinking about combining the four warehouses into a single warehouse, called Center. The supply chain manager has applied the knowledge from SCM 3517 in pooling demand, and has realized that the Center warehouse will have a daily demand that is also normally distributed. This daily demand will have a mean of M cartons and a standard deviation of S cartons, where:

Group of answer choices

M = 400, S = 20

M = 400, S = 40

M = 200, S = 20

M = 100, S = 40