Frank needs to decide how many sandwiches and bottles of water to purchase for lunch. Below is an estimate of his total utility for different quantities of sandwiches and bottles of water. Sandwiches are $2 each and bottles of water $1 each. Frank has only $6 to spend. Frank is really hungry and decides to buy 3 sandwiches and 0 bottles of water for lunch. What is his total utility from this choice?

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.