Design a power transmission speed reducer compound reverted gearbox for a prototype heavy duty lathe machine with the following characteristics:Power to be delivered: 15 HPMotor Speed: 1800 rpmMotor connection to input shaft: timing belt with 2:1 ratio. Headstock with two speeds: 450 and 60 rpm (high and low)Input and output shafts in-lineMaximum gearbox size: 16-in x 16-in base, 24-in heightInput and output shafts extend 4-in outside gearboxConnection to machine body: 4 bolts at the base, centered, 10-in apartParts life: Infinite shaft life, gear and bearing life