Mixing the Fuel
Having finalized the container, you are notified by your computer that you need to mix a stabilizer with the fuel to ensure that it survives the time to the spacecraft. The computer provides a readout of the current stabilization level along with minimum and maximum levels of stabilization. An equation, s(t), that models the levels of stabilization over time is also provided. You only need to consider these stabilization levels as t gets very large (approaches 0).
s(t) = 16/t
Minimum Level of Stabilization: 0.345833
Maximum Level of Stabilization: 0.6125
If the level falls below the minimum allowed level, you need to add more stabilizer. Finally, if the stabilization level is between these bounds, no action is required. What do you do?
1. Add Stabilizer
2. Do Nothing
3. Add Destabilizer
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team.