Looks like no one can answer this just because it's the answer is not on the other study site? Thought there were skilled people here..

In some settings there are not enough COED19 test kits and pooled testing is used in which multiple samples om di'erent people are combined in a \"pool.\" The pooled sample is tested, with two possibilities: 1. If negative, then all people in the pool are negative or 2. If the pool tests positive, then all people who contributed are tested individually Suppose there are N individuals in the targeted populaon to be tested and the unknown prevalence of Covinlg infection in this population be H. Suppose the N people in the population are split into if \"pools" with 1'1 people in each people soN=Knandn331 Let i"!- represent the number of assays required for 1: persons in pool ti = 112.3. ...K. Let T represent total assay required T = ELLE\":- 1. Find an expression for the expected number of assays in this population in terms of 211'. N. 3*! [Note: Use K = Min] 2. If R = E['i'],.l'l"v.|r is the ralio of expected number of assays needed wih pooling compared to assaying all N persons individually, calculate R assuming TE 2 l].l]l for n = ljll [Note: R should be independent of N] 3. Determine the optimal number of individuals to pool when a = [Illlll [ie. minimise R with it = [Llllll and nd it]