Suppose you have midterms in economics and astronomy tomorrow, and you only have four hours left to study. The accompanying table provides the combinations of time spent studying economics and astronomy and your expected exam scores. 

a. Draw a production possibilities frontier to illustrate your study options. What is the opportunity cost, in terms of your grades, of studying one extra hour for economics or one extra hour for astronomy? 

b. If your goal is to maximize your combined exam scores, how many hours should you spend studying each subject? 

c. Your laptop dies and refuses to start up. All your notes and class materials are saved on its hard drive. How do your production possibilities change? Illustrate in your graph from part (a).

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Hours spent studying economics 0 1 2 3 A Economics exam score 60 80 90 95 98 Hours spent studying astronomy 0 1 2 3 + Astronomy exam score 70 83 87 90 92