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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?

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