Problem $4$: Tim's Tackle is a retailer that sells outdoor and fishing equipment. Tim buys its inventory from one main vendor and pays its accounts within $10$ days in order to get a purchase discount. Tim has a fairly high inventory turnover ratio for his industry and can collect accounts receivable from his customer within $30$ days on average.

Tim's days calculations are as follows:

DIO represents days inventory outstanding: $15$ days

DSO represents days sales outstanding: $2$ days

DPO represents days payable outstanding: $12$ days

REQUIRED: Calculate Tim's cash conversion cycle.

Explain your thoughts on Tim's cycle based on the characteristics of a good cash conversion cycle.