Question

Suppose Saron has 7 Birr to be spent on two goods: banana and bread. The unit price of banana is 1 Birr and the unit price of a loaf of bread is 4 Birr. The total utility she obtains from consumption of each good is given below. Table 3.2: Utility schedule for two commodities Income = 7 Birr, Price of banana = 1 Birr, Price of bread = 4 Birr Banana Bread Quantity TU MU MU/P Quantity TU MU MU/P 0 0 - - 0 0 - - 1 6 6 6 1 12 12 3 2 11 5 5 2 20 8 2 3 14 3 3 3 26 6 1.5 4 16 2 2 4 29 3 0.75 5 16 0 0 5 31 2 0.5 6 14 -2 -2 6 32 1 0.25​

Answer 1

Solution:

A.

p_x=3, G_x=\frac {100}{3}=33\frac{1}{3}p

x

=3,G

x

=

3

100

=33

3

1

p_y=5, G_y=\frac{100}{5}=20p

y

=5,G

y

=

5

100

=20

B.

100-0.25\times 100=75100−0.25×100=75

p_x=3, G_x=\frac {75}{3}=25p

x

=3,G

x

=

3

75

=25

p_y=5, G_y=\frac{75}{5}=15p

y

=5,G

y

=

5

75

=15

C.

p_x=6, G_x=\frac {100}{6}=16\frac{2}{3}p

x

=6,G

x

=

6

100

=16

3

2

D.

p_y=5, G_y=\frac{100}{4}=25p

y

=5,G

y

=

4

100

=25

2.

MU_x=68-60=8, p_x=2MU

x

=68−60=8,p

x

=2

MU_y=29-25=4, p_y-?MU

y

=29−25=4,p

y

−?

\frac {MU_x}{p_x}=\frac{MU_y}{p_y}

p

x

MU

x

=

p

y

MU

y

\frac{8}{2}=\frac {4}{p_y}

2

8

=

p

y

4

p_y=1p

y

=1