QUESTION $3-$ MASTER PRODUCTION SCHEDULE & CAPACITY PLANNING

A$)$ Consider the product structure tree shown below:

With a beginning inventory of fifteen for all components on level one, twenty for all components on level two, and zero for all components on level three and finished items, how many of each component on level three are needed to produce $20$ product X$\text{'}$s$?(4+6+8$ marks$)$

B$).$ A work center has the following open and planned orders for week $4.$ Calculate the total standard time required $($load$)-(7$ marks$)$

Order quantity Setup time $($hours$)$ Run time

$($hours$/$piece$)$ Total time

$($hours$)$

Release orders $1252000\mathrm{.}50\mathrm{.}1$

$345700\mathrm{.}750\mathrm{.}05$

Planned orders $565801\mathrm{.}000\mathrm{.}25$

$785351\mathrm{.}500\mathrm{.}15$

Total time $($standard hours$)$