Quantity of Sports App per Week: 1, 2, 3, 4, 5, 6

Question

Marginal Utility of Sports App: 1200, 1000, 800, 600, 400, 200
Quantity of Game App per Week: 1, 2, 3, 4, 5, 6
Marginal Utility of Game App: 1700, 1400, 1100, 800, 500, 200

Consumer utility will be---utils.
The answer is 7700 utils. Can somebody show I how to get to the answer 7700 utils?

Answer 1

To calculate the total utility, you need to sum up the marginal utilities for both the sports app and the game app at each quantity level. Here's how you can calculate it:

1. Determine the total utility for the sports app:
- At quantity 1: marginal utility = 1200
- At quantity 2: marginal utility = 1000
- At quantity 3: marginal utility = 800
- At quantity 4: marginal utility = 600
- At quantity 5: marginal utility = 400
- At quantity 6: marginal utility = 200

Total utility for the sports app = 1200 + 1000 + 800 + 600 + 400 + 200 = 4200 utils

2. Determine the total utility for the game app:
- At quantity 1: marginal utility = 1700
- At quantity 2: marginal utility = 1400
- At quantity 3: marginal utility = 1100
- At quantity 4: marginal utility = 800
- At quantity 5: marginal utility = 500
- At quantity 6: marginal utility = 200

Total utility for the game app = 1700 + 1400 + 1100 + 800 + 500 + 200 = 5700 utils

3. Sum up the total utility for both apps:
Total utility = Total utility for sports app + Total utility for game app
Total utility = 4200 + 5700 = 9900 utils

Therefore, the total consumer utility is 9900 utils, not 7700 utils. It seems like there might be an error in your given data or calculations.