ASSIGNMENT$-2$

$233$CSM$-3($Computer Modeling and Simulation$)$

Last Date of submission: $09/05/2024($Thursday$)$ Maximum Marks: $4$ Marks

A computer shop expects to sell approximately $120$ laptops of a certain model in a year. Annual carrying cost is SR$100$ per laptop and ordering cost is SR$200$ per order. The cost of laptop is SR $2400.$ The shop operates $300$ days a year.

i$.$ What is the EOQ?

ii$.$ How many times per year would the store reorder if the EOQ is ordered?

iii. What is the length of an order cycle if the EOQ is ordered?

iv What is the total cost including inventory?

A footwear shop sells $6000$ shoes in a year and the sales is relatively constant throughout the year. These shoes are purchased for SR $150\mathrm{.}00$ each, and the lead time is $6$ days. The holding cost per shoe per year is $20\%$ of the unit cost and the ordering cost per order is SR $300.$ There are $360$ working days per year. Calculate the following:

$($i$)$ What is the annual holding cost?

$($ii$)$ In minimizing the cost, how many orders would be made each year?

$($iii$)$ Given the EOQ, what is the total annual inventory cost $($including purchase cost$)?$

$($iv$)$ What is the time between orders?

$($v$)$ What is the ROP?

Diagrammatically represent the Job Shop Model for the following manufacturing process. Number of workstation $=3,$ Number of Jobs $=4.$

$\backslash$table$[[$Workshop$,$Number of Machines,Status of Machines$],[$Workshop #$1,4,\backslash$table$[[$Machine $1$ Free$],[$Machine $2$ doing one job$],[$Machine $33$ jobs in queue$],[$Machine $42$ jobs in Queue$]]],[$Workshop #$2,3,\backslash$table$[[$Machine $1$ doing one job$],[$Machine $2$ doing one job$],[$Machine $33$ jobs in queue$]]],[$Workshop #$3,5,\backslash$table$[[$Machine $14$ Jobs in Queue$],[$Machine $23$ jobs in queue$],[$Machine $3$ doing one job$],[$Machine $42$ jobs in Queue$],[$Machine $52$ jobs in Queue$]]],[\backslash$table$[[$Jobs$],[1],[2],[3],[4]],\backslash$table$[[$Workstation Sequence$],[2,3,1$ represents by $**********$