) There are a number of Internet services, such as live streaming videos, that use a great deal of bandwidth. Consider an Internet service provider that currently charges a fixed up-front monthly fee with unlimited usage (unlimited data uploading and downloading). Consider one consumer, Oliver, whose monthly demand for Internet usage is: Q = 16 0.5P or P = 32 2Q where Q is the number of gigabytes used per month and P is the incremental price per gigabyte, in dollars. Oliver currently pays a fixed monthly fee of $80 for unlimited Internet access. Oliver's Internet service provider (ISP) is looking for ways to ration the available bandwidth by introducing a plan that combines a lower fixed monthly fee with an additional per-gigabyte charge after a certain threshold. The new plan offered by Oliver's ISP consists of an up-front monthly fee of $45 with no additional charge for the first 10 gigabytes consumed per month, but additional usage above 10 gigabytes is charged a price of $2 per gigabyte. (a) (6 points) If Oliver switches to the new plan offered by his ISP, how many gigabytes will he download? Show your work and illustrate your answer.