$($Economic Order Quantity EOQ$)1.$ Given the following information, compute the economic order quantity, annual holding cost, annual order cost, and annual total inventory cost.Annual requirements $($R$)=50,000$ unitsOrder cost $($S$)=$ $$150$ per orderHolding rate $($k$)=15\%$Unit cost $($C$)=$ $$100$ per unit $2.$ The annual requirement of a part is $360,000$ units. The order cost is $$120$ per order, the holding rate is $12$ percent and the part cost is $$2,500$ per unit. What are the $($a$)$ EOQ, $($b$)$ annual holding cost, $($c$)$ annual order cost, and $($d$)$ annual total inventory cost?