Refer to the table below. If the subscription price for a sports app is $2 per week, the subscription price of a game app is $1 per week, and a student has $9 per week to spend, what quantities will she purchase at a consumer optimum?
Quantity of Sports Apps per week |
Marginal Utility (utils) |
Quantity of Game Apps per Week |
Marginal Utility (utils) |
1 |
1,200 |
1 |
1,700 |
2 |
1,000 |
2 |
1,400 |
3 |
800 |
3 |
1,100 |
4 |
600 |
4 |
800 |
5 |
400 |
5 |
500 |
6 |
100 |
6 |
200 |
Given,
The subscription price for a sports app Ps is $2 per week.
The subscription price for a game app Pg is $1 per week.
A student has $9 per week to spend.
Quantity Price of Marginal Quantity Price of Marginal of sports sports Apps per Apps per week of game game Apps per Apps per week 1 utility utility week $2 week 1 1200 1000 $1 1700 2 $2 2 $1 1400 $2 800 $1 1100 $2 4 600 4 $1 800 5 $2 400 5 500 $2 100 $1 200
The budget constraint of student is:
м РО $9 $2Q $1Qs
Here, M is the income of student per week and QS and QG are the quantity of sports Apps and game Apps respectively.
Since ut...
Marginal M PQs +PQG utility Quantity Price of Marginal Quantity Price utility of sports sports Apps per Apps week of game of Apps per game week $9= $2Qs +$10 Аpps per week per week $1 M $16 $9 M= S9 5 $2 400 1000 200 6 $2 5 2 500
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