Purchasing in logistics $-$ EOQ $($Economic Order Quantity$)$ model

Jan Kowalski is attempting to perform an inventory analysis on one of his most popular products. Annual demand for this product is $5000$ units, unit cost is $200,$ carrying cost is considered to be approximately as $25\%$ of the unit price. Order costs for his company typically, run nearly $50$ per order and lead$-$time averages $10$ days. Assume a $50-$week and $250$ days' year.

a$)$ What is the economic order quantity?

b$)$ What is the reorder point?

c$)$ What is the total carrying and ordering cost?

d$)$ What is the optimal number of orders per year?

e$)$ What is the optimal number of days between orders?

Hint: Use EOQ model for economic order quantity with constant demand.