You have an economics test in two weeks. It will cover both micro- and macroeconomics. Each part will be worth 50 points.

You have an economics test in two weeks. It will cover both micro- and macroeconomics. Each part will be worth 50 points. You have a total of 100 hours that you can spend studying for this exam. For the first 15.0 hours you spend studying microeconomics, you will get one point more for each additional hour of studying. After that, you will get one point more for each three hours you spend studying, up to the maximum possible of 50 points. Macroeconomics is different. For your first 20.0 hours of studying you will get one point for each 45 minutes you spend studying. After that, you will get one point for each 1.5 hours you spend up to the maximum of 50 points. How many hours in total should you spend studying macroeconomics? No units, no rounding.

Expert Solution

Answer : For macroeconomics :

20 hour = 1200 minutes

For first 20 hour,

45 minutes study gives 1 point

1 minute study gives = 1 / 45 point

1200 minutes study gives = (1 / 45) * 1200 = 26.7 points

Remaining points = 50 - 26.7 = 23.3 points

1.5 hour = 90 minutes

After 20 hours,

1 point requires 90 minutes study

23.3 points requires = 90 * 23.3 = 2097 minutes study

2097 minutes = 34.95 hours = 35 hours

For 50 points total requires study time = 20 hours + 35 hours = 55 hours.

Therefore, here for macroeconomics the required total study time is 55 hours.

Rahul Sunny answered 1 year ago

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