What was the original purpose of the compass

What is the rule relating the ratio of marginal utility to prices of two goods at the optimal choice? explain why, if this rule does not hold, the choice cannot be utility-maximizing.

On the doctoral journey, you will need to adjust your thinking and perspective. it is inevitable that your world view will be challenged. how you respond to those instances of challenging remains in your control. this may sound daunting and even seem to be unacceptable, but it is the inexorable result of engaging in "deep thinking" while becoming an academic. remember, you are not just becoming a researcher, but you are also becoming a learned person (an academic) who will be charged with the responsibility of acting as a gatekeeper of knowledge and knowledge development. what distinguishes an infant academic from a mature academic? explain. how does the above biblical challenge to move toward mature thinking parallel the increased responsibility for knowledge and knowledge development that comes with the earning of a doctoral degree? explain.

Before they can be published, scientific papers must be peer-reviewed. this means that: a) some other scientific experts read the papers and guarantee that they are true.b) some other scientific experts read the papers and provide quality control by eliminating many mistakes.c) an editor reads the papers, to make sure that all the semicolons are in the correct places.d) everyone in the world is given the opportunity to comment on the papers through a specially maintainedblog.e) government bureaucrats read the papers, to be sure that the papers do not insult the political positions ofthe current officeholders.