maximize an elevator performance using a motor that generates peak power at a rotational speed of 340
radians/second and a torque of 0.021 N-m. You spool of line has a radius of 0.03 rn.
The design (objective) function is given as
X = W2r3a

1. Calculate the maximum weight that can be lifted for each gear ratio
2. Calculate the time it would take to move the elevator one meter for each gear ratio
3. Calculate your design function’s value for each gear ratio
4. Plot the design function for all viable gear ratios as a function of gear ratio
5. Select the optimal gear ratio for your system to maximize the design function