William faces the production possibilities frontier located on your left. He can only choose between studying for his classes or do debate research. If he only concentrates on his academics then he will produce 12 "study units" and produce no "debate units". If he only concentrates on debate then he will produce 12 "debate units" and produce no "study units". Lets assume that William is a one-person economy. Graphically show William's production possibilities frontier. Debate should be on the vertical axis.

Label four points on the graph: (A) a point inside the PPF; (B) a point on the PPF where debate is more valued than studying; (C) a point on the PPF where studying is more valued than debate; (D) a point outside the PPF

Write a program that reads the file, then displays the average number of steps taken for each month. (the data is from a year that was not a leap year, so february has 28 days.) your program needs to use at least 3 functions not counting main and display the information in a neat well formatted fashion.

Some of your friends have gotten into the burgeoning field of time-series data mining, in which one looks for patterns in sequences of events that occur over time. purchases at stock exchanges"what's being bought" are one source of data with a natural ordering in time. given a long sequence s of such events, your friends want an efficient way to detect certain "patterns" in them"for example, they may want to know if the four events buy yahoo, buy ebay, buy yahoo, buy oracle occur in this sequence s, in order but not necessarily consecutively. they begin with a collection of possible events (e. g., the possible transactions) and a sequence s of n of these events. a given event may occur multiple times in s (e. g., yahoo stock may be bought many times in a single sequence s). we will say that a sequence s is a subsequence of s if there is a way to delete certain of the events from s so that the remaining events, in order, are equal to the sequence s . so, for example, the sequence of four events above is a subsequence of the sequence buy amazon, buy yahoo, buy ebay, buy yahoo, buy yahoo, buy oracle their goal is to be able to dream up short sequences and quickly detect whether they are subsequences of s. so this is the problem they pose to you: give an algorithm that takes two sequences of events"s of length m and s of length n, each possibly containing an event more than once"and decides in time o(m + n) whether s is a subsequence of s.

Designing a mobile web page is a little different from designing a regular web page. name at least three features that should be considered when designing a website that is mobile phone-friendly, and briefly explain why they are important.