Quantity of Sports App per Week: 1, 2, 3, 4, 5, 6
Marginal Utility of Sports App: 2000, 1200, 800, 500, 200, 50
Quantity of Game App per Week: 1, 2, 3, 4, 5, 6
Marginal Utility of Game App: 1800, 1600, 1200, 1000, 800, 600
Consumer utility will be---utils.
To calculate the total utility of the consumer, we need to multiply the quantity of each app by its corresponding marginal utility and then add them together.
Quantity of Sports App per Week: 1, 2, 3, 4, 5, 6
Marginal Utility of Sports App: 2000, 1200, 800, 500, 200, 50
Quantity of Game App per Week: 1, 2, 3, 4, 5, 6
Marginal Utility of Game App: 1800, 1600, 1200, 1000, 800, 600
To calculate the total utility for each combination, we multiply the quantity and marginal utility of each app and add them together.
Week 1:
Total utility = (1 x 2000) + (1 x 1800) = 3800 utils
Week 2:
Total utility = (2 x 1200) + (2 x 1600) = 8000 utils
Week 3:
Total utility = (3 x 800) + (3 x 1200) = 6000 utils
Week 4:
Total utility = (4 x 500) + (4 x 1000) = 6000 utils
Week 5:
Total utility = (5 x 200) + (5 x 800) = 5000 utils
Week 6:
Total utility = (6 x 50) + (6 x 600) = 4200 utils
Therefore, the total consumer utility will be:
Week 1: 3800 utils
Week 2: 8000 utils
Week 3: 6000 utils
Week 4: 6000 utils
Week 5: 5000 utils
Week 6: 4200 utils
To calculate the consumer utility, we need to find the total utility for each quantity of the Sports App and the Game App.
To find the total utility, we can sum up the marginal utilities for each quantity. The marginal utility is the change in utility for each additional unit consumed.
First, let's calculate the total utility for the Sports App:
- For 1 Sports App per week, the marginal utility is 2000.
- For 2 Sports Apps per week, the marginal utility is 1200.
- For 3 Sports Apps per week, the marginal utility is 800.
- For 4 Sports Apps per week, the marginal utility is 500.
- For 5 Sports Apps per week, the marginal utility is 200.
- For 6 Sports Apps per week, the marginal utility is 50.
Now, let's calculate the total utility for the Game App:
- For 1 Game App per week, the marginal utility is 1800.
- For 2 Game Apps per week, the marginal utility is 1600.
- For 3 Game Apps per week, the marginal utility is 1200.
- For 4 Game Apps per week, the marginal utility is 1000.
- For 5 Game Apps per week, the marginal utility is 800.
- For 6 Game Apps per week, the marginal utility is 600.
To find the total utility, we sum up the marginal utilities for each quantity:
- For 1 Sports App per week: 2000 utils.
- For 2 Sports Apps per week: 2000 + 1200 = 3200 utils.
- For 3 Sports Apps per week: 3200 + 800 = 4000 utils.
- For 4 Sports Apps per week: 4000 + 500 = 4500 utils.
- For 5 Sports Apps per week: 4500 + 200 = 4700 utils.
- For 6 Sports Apps per week: 4700 + 50 = 4750 utils.
- For 1 Game App per week: 1800 utils.
- For 2 Game Apps per week: 1800 + 1600 = 3400 utils.
- For 3 Game Apps per week: 3400 + 1200 = 4600 utils.
- For 4 Game Apps per week: 4600 + 1000 = 5600 utils.
- For 5 Game Apps per week: 5600 + 800 = 6400 utils.
- For 6 Game Apps per week: 6400 + 600 = 7000 utils.
To calculate the overall consumer utility, we need to combine the total utility for each app. In this case, the consumer utility will be the sum of the total utility for the Sports App and the Game App.
Overall consumer utility: 4750 + 7000 = 11,750 utils.
To determine the consumer utility, we need to calculate the total utility for each app and then add them together.
For the sports app:
Total utility = Marginal utility of sports app * Quantity of sports app per week
Total utility = (2000 * 1) + (1200 * 2) + (800 * 3) + (500 * 4) + (200 * 5) + (50 * 6)
Total utility = 2000 + 2400 + 2400 + 2000 + 1000 + 300
Total utility = 10100 utils
For the game app:
Total utility = Marginal utility of game app * Quantity of game app per week
Total utility = (1800 * 1) + (1600 * 2) + (1200 * 3) + (1000 * 4) + (800 * 5) + (600 * 6)
Total utility = 1800 + 3200 + 3600 + 4000 + 4000 + 3600
Total utility = 20200 utils
Consumer utility = Total utility of sports app + Total utility of game app
Consumer utility = 10100 + 20200
Consumer utility = 30300 utils