In developing a sampling plan for estimating the difference between the means ????????

and ???????? (i.e., ???????? − ????????), suppose the goal is to minimize the bound on the error of estimation when the total cost of sampling is fixed at ???? = $2500. Determine the overall sample size ???? and the individual sample sizes ???????? and ????????, when

(a) ????̇ ???? = 10, ????̇ ???? = 8, ???????? = $5, and ???????? = $8.

(b) ????̇ ???? = 100, ????̇ ???? = 150, ???????? = $3, and ???????? = $6.