“…Applying natural logarithms to the result of the first order constraints for (6.1), in this case corresponding to equation (7), (7) Now, this expression is the derivative with respect to time, The consumption growth rate is equal to the capital growth and the stationary state rate; thus, the government budgetary restriction in function of the tax rate must grow to meet the private and public goods investment rate, leading to infer that the economy's growth depends on the supply of public and private goods; accordingly, the mathematical expression is, (8) Revista Científica General José María Córdova. Revista colombiana sobre investigación en el campo militar Therefore, the tax rate is equal to, (9) Consequently, equation (9) is replaced in (7.4) resulting in the solution to the model, exhibiting that consumption growth depends on risk averse parameters, tax rate, capital elasticity, depreciation, and discount rate.…”