Problem $1(20$ Points$)$

Inventory on Hand: None

Given the following information:

Bill of Materials:

$4\mathrm{.}3$

$2\mathrm{.}1$

$3\mathrm{.}0$

Routing File:

Part Size WC

$\backslash (\backslash$begin$\{$array$\}\{$lll$\}$Z & $100$ & $30\backslash$end$\{$array$\}\backslash )$

D $\backslash (85\backslash$quad $40\backslash )$

F $\backslash (75\backslash$quad $50\backslash )$

Work Center Master File:

Work Center

$30$

$40$

$50$

Available Time

Ave. Efficiency$*$

$7000$ min $.$

$7000$ min $.$

$7000$ min $.$

Lot

Setup $($min$)$

$40$

$25$

$45$

Run Time $($min$/$unit$)$

$*$Aaverage efficiency is based on processing time only.

A$.$ Create a Capacity Bill $($using lot sizes$)$ for $\backslash ($ Z $\backslash )$ in the box provided.

B$.$ How much nominal capacity $($in hours$)$ is required of Work Center $40$ to complete an order for $650$ Z$\text{'}$s$.($Consider both set$-$up and run time$)$

C$.$ The Master Production Schedule $($MPS$)$ calls for $400$ units in Week $1$ and $500$ in Week $2$ of product Z$.$ Fill in the Workcenter loads $($minutes$)$ for the two weeks in the table below. Can you fulfill the MPS$?$ Explain.

D$.$ Given the current resources and inventories available, how many Z$\text{'}$s could be produced if all resources are utilized for their production?