Consider two products produced in a factory with three workstations. There are $2,1$ and $2,$

machines in the workstations, respectively. All of these have $100\%$ availability. The

processing time data by product and workstation are:

$2$

$1$

$1$

$2$

$2$

$2$

$2$

$2$

Product $1$

$8,(1)1$

$[][1/10,1/20,1/15]$

$(1)[4/5,6/5,3/2]$

Product $2$

$10,(2)3/2$

$[][1/15,1/24,1/12]$

$(2)[2,3/2,3/4]$

s

s

C

E S

C

C

E S

C

$$

$$

$$

$$

$==$

$=$

$=$

$==$

$=$

$=$

Part $1$: Given

$2$

$[1\mathrm{.}2328,1\mathrm{.}2189,1\mathrm{.}2457]$ Ca

$=$

$,$ find the average factory performance measures

CT$,$ TH$,$ WIP as well as the same data for the individual workstations. $(40$ points$)$

Part $2$: Develop the performance measures CT$,$ TH$,$ WIP for each product. $(20$ points$)$

Part $3$: Write the SCVa equations from which the average product data given above was

developed:

$2$

$[1\mathrm{.}2328,1\mathrm{.}2189,1\mathrm{.}2457]$ Ca

$=$

$.(10$ points$)$