A company purchases inventory on terms of net 30 days and resells to its customers on terms of net 15 days. The inventory conversion period averages 60 days. What is the company's cash conversion cycle

The company's cash conversion cycle is 75 days

Explanation:

The conversion cycle is the number of days that a business takes to convert its investment in inventory into cash flowing from the purchase and sales of the business.

Conversion cycle = Payable days + Inventory in Stock days + Receivable days

where

Payable days = Purchases term  = 30 days

Inventory in stock = Number of days until inventory remains unsold = 60 - 30 days = 30 days ( As payable days are already included in inventory conversion days )

Receivable days = Sales term = 15 days

Placing values in the formula

Conversion cycle = 30 days + 30 days + 15 days

Conversion Cycle = 75 days

$17.99 * 0.2 = $3.60 (amount taken off for each shirt)

$17.99 - $3.60 = $14.39 (per shirt)

40 / 14.39 = 2.779 (round to 3)

You'd have to buy 3 shirts in order to use your coupon.

($14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40)