problem$-2-15$ Points$)$

Company AXA stocks a certain product at its central warehouse for supplying field service offices. The yearly demand for this product is $30000$ units and the cost per unit is $$100.$ The annual holding cost is $14\%$ of the unit cost. The cost to place and process an order from the supplier is $$240.$ The company operates $260$ days per year, and the lead time to receive an order from the supplier is $3$ working days.

a$)$ Find the economic order quantity.

b$)$ Find the minimum annual holding cost.

c$)$ Find the minimum annual ordering cost.

d$)$ Find the number of times per year, the product should be ordered.

e$)$ What's the reorder point?

problem$-3)$ Using the information in problem $2,$ if the shipment rate for this item is $$6$ per unit and for larger shipment $(30\%$ more than the EQQ$)$ the shipping rate is discounted by $25\%$ per unit, what will your recommendation be regarding the order quantity? Show your calculation$/$work to support your recommendation.