$21-23$ EQQ for a retailer. The HomeServe Corporation provides a wide range of household essentials to householders. One of the products it offers is dotted paper rolls, used in kitchens and toilets. The supplier for the dotted paper rolls pays all incoming freight. No incoming inspection of the paper roll is necessary because the supplier has a track record of delivering high$-$quality merchandise. The purchasing officer of the HomeServe Corporation has collected the following information:$$

The purchasing lead time is $4$ weeks. The HomeServe Corporation is open $260$ days a year $(52$ weeks for five days a week$).$

$1.$ Calculate the EOQ for dotted paper roll.$$

$2.$ Calculate the number of orders that will be placed each year.$$

$3.$ Calculate the reorder point for dotted paper roll.$$