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The test will be held 15 hours later. Student K has yet to study for it....

The test will be held 15 hours later. Student K has yet to study for it. Suppose an hour of study can increase the score by 5 in the test. (a) Draw the budget constraint of K. (Hint: good x is sleeping in hours, and good y is test score) (b) The test is unexpectedly delayed for 5 hours. Do you think that K’s test score must be higher? Explain your answer intuitively and graphically. (c) Although the test is delayed for 5 hours, K finds that some of the course materials are much more difficult than expected. For the first 10 hours, an hour of study can increase the score by 5. For the rest, an hour of study can increase the score by 3 only. Draw the new budget constraint of K. (d) Suppose K choose to sleep for 10 hours in part c. Will K be worse off in part d? Explain your answer intuitively and graphically.

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