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Q5. Summit has $ 90 with him. He intends to purchase goods X and Y with...

Q5. Summit has $ 90 with him. He intends to purchase goods X and Y with his money. The market price of X and Y per unit is $10. The marginal utility schedule of goods X and Y is given below.

     Units of    

Commodity

                MUx

                   MUy

           1

                 80

                     40

           2

                 72

                     32

           3

                 64

                     24

           4

                 56

                     20

           5

                 48

                     16

           6

                 40

                     12

           7

                 32

                      8

           8

                 24

                      4

           9

                 16

                      0

          10

                  8

                      0

    


















(a) From above schedule find Total Utility schedule for both goods. No need for graph.

of X and Y per unit is $10. The marginal utility schedule of goods X and Y is given below.

     Units of    

Commodity

                MUx

                   MUy

MU/Py

Total utility
X

TOTAL UTILITY
Y

1

80

40

4.0

80

40

2

72

32

3.2

152

72

3

64

24

2.4

216

96

4

56

20

2.0

272

116

5

48

16

1.6

320

132

6

40

12

1.2

360

144

7

32

8

0.8

392

152

8

24

4

0.4

416

156

9

16

0

0

432

156

10

8

0

0

440

156

    




















(b) Find out how many units of X and Y should Summit purchase so that he gets maximum

satisfaction?

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