Using the fixed-time-period inventory model, and given an average daily demand of 75 units, 10 days between inventory reviews, 2 days for lead time, 50 units of inventory on hand, a service probability of 95 percent, and a standard deviation of demand over the review and lead time of 8 units, which of the following is the order quantity?

a. 863
b. 948
c. 1,044
d. 1,178
e. 4,510