Answer 3
(i)
It is given that he has 18 hours to spend either on Leisure(X) and on working(W) and earning income M.
Thus, X + W = 18 where W = number of hours worked and X = Total leisure hours
=> W = 18 - X --------------------------(1)
M = daily income = wage rate*Hours worked = 5W
=> M = 5W
From (1) we have :
M = 5W = 5(18 - X)
=> M = 90 - 5X
=> M + 5X = 90
Thus Daily income constraint of this individual in terms of X and M is given by :
M + 5X = 90
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