Alpaca Company has just purchased merchandise inventory with an invoice price of $$800,000.$ The credit terms from the vendor are $2/15,$ n$/60.$ The company's owner is not sure if it is worth taking the discount or wait until the end of the credit period. To take the discount, the owner would need to borrow sufficient cash from the bank at $11\%$ annual interest. Assume that the owner will be able to repay the bank loan by the end of the credit period.