3. Again consider the information shown for Fred in the table to the right. Suppose the price of beer increases to $2 but his daily income remains $12. Fred's new optimal consumption bundle will be:

   Fred's optimal consumption bundle must satisfy the same two conditions as before:
1. It must cost exactly $12
2. The ratio of Marginal Utilities must equal the ratio of prices.

   After the increase in the price of beer both goods cost $2 so their marginal utilities must be equal, and the bundle must cost $12. The bundle with 4 brats and 2 beers costs exactly $12 and the marginal utility of each good is equal to 10 so this is his optimal bundle at the new prices.

Fred's Marginal Utility
Q MU Brats MU Beer
1 16 11
2 14 10
3 12 9
4 10 8
5 8 7
6 6 6
7 4 5
8 2 4

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