Quantity of Sports App per Week: 1, 2, 3, 4, 5, 6
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?
To calculate the total utility, we need to multiply the quantity of each app by its corresponding marginal utility and sum up the results. Let's calculate it step-by-step:
1. Multiply the quantity of the Sports App by its marginal utility for each week:
Week 1: 1 x 1200 = 1200 utils
Week 2: 2 x 1000 = 2000 utils
Week 3: 3 x 800 = 2400 utils
Week 4: 4 x 600 = 2400 utils
Week 5: 5 x 400 = 2000 utils
Week 6: 6 x 200 = 1200 utils
2. Multiply the quantity of the Game App by its marginal utility for each week:
Week 1: 1 x 1700 = 1700 utils
Week 2: 2 x 1400 = 2800 utils
Week 3: 3 x 1100 = 3300 utils
Week 4: 4 x 800 = 3200 utils
Week 5: 5 x 500 = 2500 utils
Week 6: 6 x 200 = 1200 utils
3. Add up the results from both apps for each week:
Week 1: 1200 + 1700 = 2900 utils
Week 2: 2000 + 2800 = 4800 utils
Week 3: 2400 + 3300 = 5700 utils
Week 4: 2400 + 3200 = 5600 utils
Week 5: 2000 + 2500 = 4500 utils
Week 6: 1200 + 1200 = 2400 utils
4. Finally, add up the total utils from all weeks:
2900 + 4800 + 5700 + 5600 + 4500 + 2400 = 25900 utils
Therefore, the total utility is 25900 utils, not 7700. Please double-check the data provided or let me know if you need further clarification on the calculations.
To calculate the total utility or consumer utility, you need to sum up the marginal utilities of the individual apps.
Let's first create a table to show the quantity and marginal utility of each app:
App | Quantity per week | Marginal Utility
----------------------------------------------------
Sports App | 1 | 1200
Sports App | 2 | 1000
Sports App | 3 | 800
Sports App | 4 | 600
Sports App | 5 | 400
Sports App | 6 | 200
App | Quantity per week | Marginal Utility
----------------------------------------------------
Game App | 1 | 1700
Game App | 2 | 1400
Game App | 3 | 1100
Game App | 4 | 800
Game App | 5 | 500
Game App | 6 | 200
Now let's calculate the total utility for each app:
For Sports App:
Total Utility = Sum of Marginal Utilities of Sports App
Total Utility = 1200 + 1000 + 800 + 600 + 400 + 200 = 4200 utils
For Game App:
Total Utility = Sum of Marginal Utilities of Game App
Total Utility = 1700 + 1400 + 1100 + 800 + 500 + 200 = 5700 utils
Finally, to find the consumer utility, you need to sum up the total utilities of both apps:
Consumer Utility = Total Utility of Sports App + Total Utility of Game App
Consumer Utility = 4200 + 5700 = 9900 utils
Based on the information given, the consumer utility is calculated to be 9900 utils, not 7700 utils.
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.