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The table shows the total utility (TU) that James receives from consuming different amounts of two goods X and Y, per month. Quantity TUx MUx

  1. The table shows the total utility (TU) that James receives from consuming different amounts of two goods X and Y, per month.

Quantity

TUx

MUx

MUx/Px

TUy

MUy

MUy/Py

0

0

0

1

50

75

2

88

117

3

121

153

4

150

181

5

175

206

6

196

225

7

214

243

8

229

260

9

241

276

  1. Fill in the other columns of the table by calculating the marginal utilities for goods X and Y and the ratios of marginal utilities to price for the two goods. Assume that the price of both goods X and Y is $3.

  1. If James allocates $30 to spend on both goods, how many units will he buy of each?

  1. How much will James spend on each good at the utility maximizing combination?

  1. How much total utility will James experience by buying the utility-maximizing combination?

  1. Suppose the price of good Y increases to $6. How many units of X and Y will he buy to maximize his utility now?

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