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The table below shows the amounts of additional satisfaction which a consumer wo

ID: 1219160 • Letter: T

Question

The table below shows the amounts of additional satisfaction which a consumer would get from successive quantities of products Marha and Nem.

Units of Marha

MUm

Units of Nem

MUn

1

56

1

32

2

48

2

28

3

32

3

24

4

24

4

20

5

20

5

12

6

16

6

10

7

12

7

8

8

8

8

6

Refer to the above data. If the consumer has a money income of $52 and the prices of Marha is $8 and the price of Nem is $4, the consumer will maximize her utility by purchasing: ____ units of Marha and ____ units of Nem.

           

b.What level of total utility is realized from the equilibrium combination of Marha and Nem?

Units of Marha

MUm

Units of Nem

MUn

1

56

1

32

2

48

2

28

3

32

3

24

4

24

4

20

5

20

5

12

6

16

6

10

7

12

7

8

8

8

8

6

Explanation / Answer

The utility maximising condition require that, Px/Py = MUx/MUy.

Where Px and MUx are the price and marginal utility of good X. And Py and MUy are the price and marginal utility of good Y.

Pm/Pn = 8/4 = 2.

So the ratio of MUm/MUn = Pm/Pn should be equal to 2.

This is at 1 unit of Marha and 1 unit of Nem (MUm/MUn is 1.75,closest to 2 of all ratios).

b. Marginal utility is = change in total utility/change in units consumed.

At 1 units of Marha, 56 = change inTU/1.

Change in TU = 56*1 = 56.

Similarly, change in TU of 1 unit of Nem = 32*1 = 32.

Mum/Mun 1.75 1.71 1.33 1.20 1.67 1.60 1.50 1.33
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