Charles consumes only beer (x) and wine (y). His preferences can be represented by the following utility function: U = 2xy. The price of beer is px = 2, the price of wine is py = 2. %3D Obtain an expression for the marginal rate of substitution of Charles, - MUx / MUy. b. Imagine that Charles wants to attain a utility of U = 32. How many units of beer and how many units of wine should he buy? You can use any method you want. How much will the consumption bundle you found in part (b) cost? d. Suppose that the prices of beer and wine double, so that px = 4 and is py = 4. If Charles still wants to attain a utility of U = 32, how many units of beer and how many units of wine should he buy? а. С.

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