A local landscaping company, Evergreen, uses $4,560$ bags of plant food annually. Evergreen works $50$ weeks per year, $7$ days a week. It costs $$12$ to place an order for plant food. The annual holding cost rate is $$8$ per bag. It takes $4$ days to receive an order after order placement $.$

$1.$ how many bags should Evergreen order each time to minimize total cost?

$2.$ what is the reorder point? Explain what the calculated reorder suggests.

$3.$ if you received the quantity of economic order today, how many days later you should place the order again?