That insidious supervillain Dr. Tammi is at it again! He has created a new virus, TammiRage, which turns people into blood crazed vampires! The world is engulfed with fear and desperation as they try to combat this new threat. Fortunately for humankind, WalkerTech has come up with a new weapon to defeat the vampire hoards. The “Solar Nexus” is like a miniature sun that emits powerful solar energy to destroy all vampires within a certain radius. The weapon runs off of WalkerWatts and WalkerTech needs your help to properly use the Solar Nexus. Here is the data that WalkerTech can provide:
1. The Solar Nexus can destroy up to 2 vampires per WalkerWatt of power used.
2. The Solar Nexus will explode if it uses more than 300 WalkerWatts at once.
3. Humans have a natural resistance to solar power, but the weapon can still cause harmful effects if too much power is used. The Solar Nexus can harm one human per WalkerWatt used, but this is only noticed in groups with a population of at least 100.
With this data in mind the engineers at WalkerTech need to answer the following questions:
1. What is the maximum number of vampires the Solar Nexus can destroy?
2. What is the maximum number of vampires the Solar Nexus can destroy without harming any humans?
3. At how many WalkerWatts does the Solar Nexus start to harm as many humans as vampires?
4. How would you capture the dastardly Dr. Tammi?