The Fast Reader Company supplies bulletin board services to numerous hotel chains nationwide. The owner of the firm is investigating the desirability of employing a billing firm to do her billing and collections. Because the billing firm specialises in these services, collection float will be reduced by19 days. Average daily collections are$5 800, and the owner can earn8% annually (expressed as an APR with monthly compounding) on her investments. If the billing firm charges $550 per month, should the owner employ the billing firm?

Assuming the billing firm can reduce the collection float immediately, as soon as Fast Reader starts the service they will receive $

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. (Round to the nearest dollar.)