$21-23$ EOQ for a retailer. The Cloth Bonanza sells fabrics to a wide range of industrial and consumer users. One of the products it carries is denim cloth, used in the manufacture of jeans and carrying bags. The supplier for the denim cloth pays all incoming freight. No incoming inspection of the denim is necessary because the supplier has a track record of delivering high$-$quality merchandise. The purchasing officer of the Cloth Bonanza has collected the following information:

Annual demand for denim cloth $29,250$ yards

Ordering cost per purchase order $$195$

Carrying cost per year $20\%$ of purchase costs

Safety$-$stock requirements None

Cost of denim cloth $$15$ per yard

The purchasing lead time is $2$ weeks. The Cloth Bonanza is open $250$ days a year $(50$ weeks for $5$ days a week$).$

Calculate the EOQ for denim cloth.

Calculate the number of orders that will be placed each year.

Calculate the reorder point for denim cloth.