Question
You have an income of $25 and are trying to decide how many movies and concerts to attend. Tickets for movies cost $2.00 each and
You have an income of $25 and are trying to decide how many movies and concerts to attend. Tickets for movies cost $2.00 each and tickets for concerts cost $5.00 each. Given your utility from attending movies and concerts below, answer the questions below.
Number of Movies | Total Utility From Movies | Number of Concerts | Total Utility From Concerts |
1 | 120 | 1 | 240 |
2 | 232 | 2 | 470 |
3 | 336 | 3 | 690 |
4 | 432 | 4 | 900 |
5 | 520 | 5 | 1100 |
6 | 600 | 6 | 1290 |
7 | 672 | 7 | 1470 |
8 | 736 | 8 | 1640 |
9 | 792 | 9 | 1800 |
10 | 840 | 10 | 1950 |
1. Given your income and the prices above, how many movies and concerts should you attend to maximize your utility?
2. At your utility maximizing combination of movies and concerts, how much utility are you gaining from your last dollar spent?
3. At your utility maximizing combination of movies and concerts, show that your marginal rate of substitution is equal to the relative prices of the products.
4. Assume your friend comes to you and is planning on seeing 10 movies and 1 concert. Given what we have discussed this week, how would you explain to them that they should see fewer movies and more concerts?
Step by Step Solution
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Step: 1
To maximize your utility you should allocate your income in such a way that the marginal utility per dollar spent on movies is equal to the marginal u...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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