(a) Calculate the cycle burnup and in-core average burnup in a BWR using four-batch and six-batch refueling scheme for a discharge burnup of \(40 \mathrm{GWd} / \mathrm{t}\).

(b) If the core average burnup in the BWR above is designed to be the same at \(30 \mathrm{GWd} / \mathrm{t}\) compare the discharge burnup in a 3 batch refueling and 4 batch refueling schemes