Bamian Matthews is busy. He allocates his free time between watching movies and working out at the gym. The table below shows his utility from the number of times per week he watches a movie or goes to the gym. Damien has 14 hours a week to spend on movies or the gym (think of hours like $ of income here). Each movie takes 2 hours. Each gym trip takes 2 hours. Q of Gym Total visits Q of Movie Total Utility Utility from Gym Visits visits from movies 1 100 1 60 180 110 3. 240 3 150 4 280 180 310 190 6. 330 6. 195 7. 340 197 a) What bundles of gym visits and movies can Damien consume if he spends 1) all his time in the gym or 2) all his time watching movies? b) Calculate the marginal utility of each gym visit 'and movie. Then calculate the Marginal Utility per hour of each activity. c) How should he allocate his time to maximize his utility?

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Chapter6: Consumer Choice Theory
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15. Damian Matthews is busy. He allocates his free time between watching movies and working out at the gym.
The table below shows his utility from the number of times per week he watches a movie or goes to the gym.
Damien has 14 hours a week to spend on movies or the gym (think of hours like $ of income here). Each movie
takes 2 hours. Each gym trip takes 2 hours.
Q of Gym
Total
Q of Movie Total Utility
visits
Utility from
visits
from
Gym Visits
movies
100
1
60
180
110
3
240
3
150
4
280
4
180
310
190
330
195
340
7
197
a) What bundles of gym visits and movies can Damien consume if he spends 1) all his time in the gym or 2)
all his time watching movies?
b) Calculate the marginal utility of each gym visit'and movie. Then calculate the Marginal Utility per hour
of each activity.
c) How should he allocate his time to maximize his utility?
12
Transcribed Image Text:Styles 15. Damian Matthews is busy. He allocates his free time between watching movies and working out at the gym. The table below shows his utility from the number of times per week he watches a movie or goes to the gym. Damien has 14 hours a week to spend on movies or the gym (think of hours like $ of income here). Each movie takes 2 hours. Each gym trip takes 2 hours. Q of Gym Total Q of Movie Total Utility visits Utility from visits from Gym Visits movies 100 1 60 180 110 3 240 3 150 4 280 4 180 310 190 330 195 340 7 197 a) What bundles of gym visits and movies can Damien consume if he spends 1) all his time in the gym or 2) all his time watching movies? b) Calculate the marginal utility of each gym visit'and movie. Then calculate the Marginal Utility per hour of each activity. c) How should he allocate his time to maximize his utility? 12
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