Question

A consumer has an income of $24 to spend each day. The only two goods the...

  1. A consumer has an income of $24 to spend each day. The only two goods the consumer is interested in purchasing are goods A and B. The marginal-utility schedules for these two goods are shown in the table below. The price of A varies between $4 and $8 and the price of B is $2.

Good A

Good B

Quantity

MU

MU/$8

MU/$4

MU

MU/$2

1

48

24

2

32

15

3

24

12

4

16

8

5

8

6

6

4

4

a) Complete the table by computing the marginal utility per dollar for successive units of A and B at the respective prices (to one or two decimal places).

(b) How many units of A and B will the consumer buy when maximizing utility and spending all income when the price of A is $8 and the price of B is $2? (Note: identify and show all the possible combinations then select the optimal combination)

c) How many units of A and B will the consumer buy when maximizing utility and spending all income when the price of A is $4 and the price of B is $2?  (Note: identify and show all the possible combinations then select the optimal combination)

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