Utility function over consumption and leisure.

U(C,L) = C^1/3L^2/3

Total hours: 40

Labour hours: N^s=H-L

Government expenditure = 30

Lumpsum tax = T

Production function: Y =zN^d

Total factor productivity z=3

the representative consumer maximizes utility, the representative firm maximizes profit and the gov. balances budget. Suppose there is a decrease in the total factor of productivity, z=2

what is the income effect of this change on the labour supply?