I need all the calculations and the exercise resolved differenciating PART A and PART B Question $4(25$ marks$).$

Part A

Carlow Manufacturing work $5$ days a week and $50$ weeks per year. They are moving to

kanbans to standardise production. Determine the size of the kanban size required for their

sub$-$assemblies and the number of kanbans needed from the following information:

Setup cost $=30\mathrm{.}00$

Annual holding cost $=120\mathrm{.}00$ per sub$-$assembly

Daily production $=20$ sub$-$assemblies

Annual Usage $=2,500$ sub$-$assemblies

Lead time $=16$ days

Safety stock $=4$ days production

marks$)$ Part B

Home Furniture Ltd$.$ Have the following demand estimates:

Assuming stock$-$outs cost $100$ per unit, inventory costs are $25\mathrm{.}00$ per unit, and starting

and ending inventories are zero, evaluate the following scenarios:

Plan A

Produce at a steady rate of $1,000$ units per month and subcontract additional units at

$60\mathrm{.}00$ per unit.

Plan B

Vary the workforce to produce the prior month's demand. The firm produced $1,300$ units in

June. The cost of hiring additional workers is $3,000$ per $100$ units produced. The cost of

layoffs is $6,000$ per $100$ units.

$(4$ marks$)$

Plan C

Increase the workforce to bring production up to a steady $1,200$ units per month. Use

overtime to a maximum of $300$ units per month. All remaining demand is to be met using a

sub$-$contractor. Overtime cost is $40\mathrm{.}00$ per unit.

Plan D

Keep the current workforce at a level capable of producing $1,200$ units monthly for the

months of July to September inclusively. From October increase capacity to $1,800$ units and

use inventory to absorb additional units.