The Trim Gym recently purchased a new security system for $5,500. The transaction was made on trade credit terms of net 45 days. The billing office has offered the gym a 0.25% discount if the payment is made with an ACH. The financial manager at the Trim Gym notes that the ACH provides a 1 day of float, while a check would provide 3 days of float. The additional float might e helpful since the Trim Gym's cost of capital is 9%.

b) At what discount would the Trim Gym be indifferent between the disbursement methods?