A manufacturing company is considering acquiring a stamping press. The plan calls for using the machine in a three-shift operation at a production rate of 100 parts per minute. Past experience has shown that the dies need to be replaced due to wear out after an average of 1,440,000 parts. How much time can the plant manager allow for an average die change if the machine would have to run at least 98% of the time to reach profitability? State clearly all your assumptions.