$1.$ Consider a manufacturing system under MRP control. The master production schedule over the next five weeks for a given end item is as follows:

Week

$0$

$1$

$2$

$3$

$4$

$5$

Demand

$41$

$71$

$14$

$92$

$112$

There are currently $100$ items in inventory and $20$ more are scheduled to be arriving at the beginning of week $2($i$.$e$.)$ scheduled receipts in week $2.$ The assemble lead time is $2$ weeks for this end item. The end item consists of two purchased parts.

a$)$

What is the independent demand & dependent demand entities in this problem? Explain why?

b$)$

Compute planned order releases for the end item.

c$)$

Let ordering cost be $$350$ and holding cost per week be $$2\mathrm{.}50.$ For the planned order releases of the end item, determine lot sizing using.

a$.$

Lot$-$for$-$lot

b$.$

Silver meal

c$.$

Part balancing

d$)$

The two purchased parts $($Part A and Part B$)$ have a lead time of $1$ week. Currently, Part A and Part B has $50$ units in inventory. Compute planned order releases for Part A $($Note: only for Part A$).$ Is the MPS still feasible $?$

e$)$

Say, for the end item, the scheduled receipts are delayed by a week. The $20$ units are scheduled to be arriving at the beginning of week $3($instead of beginning of week $2).$ Can we meet the MPS quantities for the end item $?$