6. Suppose you must divide your time between studying for your math final and writing a final paper for your English class. The fraction of time that you spend studying math and its relation to your grade in the two classes is given in the table below.

a. Draw a tradeoff curve for the math grade versus the English grade.

b. What is the opportunity cost of increasing the time spent on math from 80 to 100 percent? What is the opportunity cost of increasing the time spent on math from 60 to 80 percent?

c. Are there increasing opportunity costs from spending more time on math? Explain.

d. Suppose your parents want you to get a 92 in both subjects. What would you tell them?

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Fraction of Time Spent on Math 0 Math Grade English Grade 20 45 40 60 75 80 100 822240 97 92 65 85 70 50 88 0