Problem $2($Multi$-$Period Inventory$-$ EOQ Model$)(3$ points$)$

Vineyard Haven is a cozy establishment known for its curated selection of imported wines.

One of the crowd favorites is a particular effervescent wine which is ordered in quart

bottles. This wine is a delicate delight but loses its effervescence quickly, hence is served

only in whole bottles. The annual consumption is $6000$ bottles. The dynamics of ordering

and holding this wine entail certain costs that need to be optimized.

Here are the details:

$$ Wine Cost: $$4$ per bottle

$$ Ordering Cost: $$10$ per order

$$ Holding Cost: $20\%$ of the cost of wine per bottle per year

Task: With an objective to minimize the total annual costs encompassing ordering and

holding expenses, determine the Economic Order Quantity $($EOQ$)$ for Vineyard Haven.

Ensure to outline your computation process