Nazrul Sdn Bhd$,$ a fumiture company, specialised in the manufacturing of a moisture$-$ resistant cabinet. To produce the cabinets, fibreboards are used and imported from an external supplier. Each cabinet required four pieces of fibreboard. The management of the company is interested in monitoring the stock level of its synthetic woods in store.

The forecasted usage of synthetic wood for the year $2024$ is as follows:

Month

Pieces

Month

Pieces

January $2,000$

$2,000$

July

$3\mathrm{.}000$

February

August

$3,000$

March $2,800$

September

$2,200$

April $2,800$ May $3,000$

October

$2\mathrm{.}200$

November

$2,000$

June $3,000$

December

$2\mathrm{.}000$

The reorder quantity is usually constant at $8,000$ pieces, where delivery from the supplier will take as long as $4$ months and the shortest time expected is $2$ months.

Required:

Compute the following stock level for the year $2024$:

i$.$ Reorder level

ii$.$ Minimum stock level

iii. Maximum stock level.

iv$.$ Average Stock level