An automobile manufacturer has determined that the milage (in thousands of miles) is related to the tire pressure (in pounds per square inch) by the following function m(x)=-0.518x^2 + 33.4z 485 where x is the tire pressure. (a) determine the milage for a tire which has a pressure of 29 pounds per square inch (b) determine the tire pressure required to have milage of 49,450 miles. (c) determine the tire pressure required to achieve the maximum number of miles as well as the maximum number of miles that can be driven. explain why there must be a maximum at this point and include units in your answer.