Following table shows MPS for a specific product $(P1)$ for twelve months.

$\backslash$table$[[,$Month,,$],[1,2,3,4,5,6,7,8,9,10,11,12],[$MPS$,500,750,650,500,500,650,600,600,650,600,600,650]]$

This product requires $9\mathrm{.}2$ standard hours of machine$/$labor time, as shown in the bill of labor $($BOL$)$ below. There are three workstations, WC$1$: Turning, WC $2$: Milling and WC$3$: Drilling.

$\backslash$table$[[$Resource$,$WC$1,$WC$2,$WC$3,$Total$],[$Time $($hours$),3\mathrm{.}0,3\mathrm{.}5,2\mathrm{.}7,9\mathrm{.}2]]$

$($a$)$ Calculate required capacity for each workstation in each period by using capacity planning using overall factors $($CPOF$).$

$($b$)$ Company decided to produce a new product $($P$2)$ with following MPS and BOL.

$\backslash$table$[[,$Month,,$],[1,2,3,4,5,6,7,8,9,10,11,12],[$MPS$,0,0,0,350,400,450,400,400,450,350,350,400]]$

$\backslash$table$[[$Resource$,$WC$1,$WC$2,$WC$3,$Total$],[$Time $($hours$),2\mathrm{.}0,4\mathrm{.}0,1\mathrm{.}5,7\mathrm{.}5]]$

Consider both products $P1$ and $P2$ and calculate required capacity in each workstation by the Bill of Labor Approach.

$($c$)$ Resource profiles for products $P1$ and $P2$ are given below.

$\backslash$table$[[$Product P$1,$Months before due date$],[1,0],[$WC$1,3\mathrm{.}0,0],[$WC$2,3\mathrm{.}5,0],[$WC$3,0,2\mathrm{.}7]]$

$\backslash$table$[[$Product P$2,$Months before due date$],[1,0],[$WC$1,2\mathrm{.}0,0],[$WC$2,0,4\mathrm{.}0],[$WC$3,0,1\mathrm{.}5]]$

Calculate the required capacity in each workstation by using the Resource Profile Approach.

Draw a graph to illustrate the machine load report of the workstations.

$-$What should the minimum available capacities of the workstations?