Estimate (no programming needed) how much memory and how much computational power would be required to predict the weather, given two scenarios.

a) Predict the weather for the next day. the size of Ontario at a resolution of 1km in two directions but at only 1km in height. Updates are to happen every minute, for a whole day.

b) Predict the weather for an area the size of Canada, for a week, at a resolution of 100 km in two directions, and also, like in the first scenario, one layer for height. Your goal is to predict the weather for a week, calculating updates every 10 minutes.

c) Is there a computer that is able to achieve these calculations in a day for Scenario a and a week for Scenario b? If yes, find a price for that computer. If not, estimate how long it will take to have such a computer available by looking at the performance development over time at top500.org For both scenarios, you can assume that you actually have a rectangular area and that you have to keep track of 6 variables: wind speeds, temperature, pressure, and humidity.