It’s time to film your first big action scene. A swarm of insect-like aliens has descended upon the hero’s peaceful martial arts dojo, forcing the kung-fu monk to take up arms and defend his home. Unfortunately, each alien bug can periodic split into two bugs, allowing their numbers to overwhelm the poor monk. You will start the scene at an innocuous 50alien bugs, but by the end of the scene you want to have a huge swarm of 1,000 bugs on screen. The swarm will grow by having each bug split into two bugs. If the scene is 1minute and 20 seconds long, how frequently should each bug split into two bugs to achieve the desired swarm size by the scene’s end?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.