Suppose you have exams in economics and astronomy tomorrow, and you only have four hours left to study. The accompanying table provides with combinations of time spent studying economics and astronomy and your expected exam scores: Hours spent studying economics 0 1 2 Economics exam score Hours spent studying astronomy Astronomy exam score 60 4 92 80 3 90 90 2 87 95 98 1 0 83 70 3 4 a) Suppose you were planning on splitting your time evenly between the two subjects. What is the opportunity cost, in terms of your marks, of studying one extra hour for economics or one extra hour of astronomy? b) If your goal is to maximise your combined exam scores, how many hours should you spend studying each subject?

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