A university has 27 academic units ranging in size from 2 to 92 faculty members. A sample of 10 academic units were selected with probabilities proportional to size and with replacement, and within each sample academic unit an SRS of four members were selected. Note that academic unit 14 appears three times in the sample; each time it appears, a different subsample was collected.

Find the estimated total number of publications, along with its standard error.