Design a simple compound gearbox for an exact 22:1 ratio, using a compound gearset so that no ratio exceeds 2.9:1. Choose the number of teeth on each gear such that the gears are all approximately the same size and the pinions are all approximately the same size (no more than a 10 tooth difference between all the gears, no more than a 5 tooth difference between all the pinions, and all gears should have at least 20 teeth). The gearbox should have an input and output shaft on opposite sides of the gearbox with all gears in proper mesh. (Hint: you will need at least 3 gear pairs.)