this is just to make it 10 charachetrs long

A typical household aims to maximize its expected discounted lifetime utility function v. = zzoti m). dened over consumption or and labor nt given by: The period utility is U(cc,m] =(Ct1'0) / (1-5]-z((nt1*g] / [1 +QJ] and the discount factor B=1/ (1 +6] where theta the rate of time preference and 0' is the coefcient of relative risk aversion. Both labour parameter 2 and Q are positive The household is endowed with one unit of time that can be used for leisure l, and labor In. One unit of labor time earns the average wage rate wt. In each period, the household consumes c.: and saves in physical capital kt. Let capital's depreciation rate 6 equal 0 and rt denote the rate of return to physical capital. The household pays a proportional tax In only on earnings from work. A representative rm hires capital kt at rental rate rt and labor at wage rate wt to pro- duce output y = F (k , n). The production function is given by: F [k , n] = Akanl'\