Question $2$

$2.($a$)$ What do you understand by the terms selection function and breakage function $(5)$

$($b$)$ Construct a breakape function matrix for $3$ size classes, given that $b_{31}=0\mathrm{.}4.$ You must assume that class $3$ is the sink class. $(5)$

$($c$)$ A pan cake mill $($i$.$e mill with a large diameter compared to its length$)$ as illustrated is being fed at a rate of $10kg/$minute$.$ The feed and product size distributions are as shown in the Figure A below. The feed size distribution changes as shown in the Figure $B$ and the corresponding product size distribution is also showti in Fiyure B$.$ Assume only $3$ size classes as showti.

Calculate $S_1$ and $S_2$ as well as $b_{21}(24)$