Two level sections of an east highway (G=0) are to be connected. Currently, the two sections of highway are seperated by a 4000-ft (horizontal distance), 2% grade. The westernmost section of highway is the higher of the two and is at elevation 100 ft. If the highway has a 60-mi/h design speed, determine, for the crest and sag vertical curves required, the stationing and elevation of the PVCs and PVTs given that the PVC of the crest curve(on westernmost level highway section) is at station 0+00 and elevation 100 ft. In solving this problem, assume that the curve PVIs are at the intersection of G=0 and the 2% grade, that is , A=2.