Solution:
a.). Budget constraint:
I = PxX + PyY
Where: I = Income = 60
Px = Price of pencils = Rs.2
Py = Price of notebooks = Rs.3
X = Pencils
Y = Notebooks
60 = 2X + 3Y
Notebooks (Y) = 10pcs
60 = 2X + 3(10)
60 = 2X + 30
60 – 30 = 2X
30 = 2X
X = 15 Pencils
Fatima’s consumption bundle will be = 15 pencils and 10 notebooks
b.). I = PxX + PyY
110 = 2X + 5Y
Pencils (X) = 2pcs
Notebooks (Y) = 10pcs
110 = 2(2) + 5(10)
110 = 4 + 50
110 > 54
Amount saved = 110 – 54 = Rs.56
Fatima will be able to save Rs.56 since the amount spent will be less than her consumption bundle. That is, her income is more than the costs of her consumption bundle.
c.). I = PxX + PyY
50 = 3X + 10Y
Pencils (X) = 10pcs
Notebooks (Y) = 3pcs
50 = 3(10) + 10(3)
50 = 30 + 30
50 < 60
Shortage = 60 – 50 = 10
Fatima will not be able to afford the consumption bundle since it costs more than the income she has.
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