Exercise 20.10. Consider the model of Section 20.1 but assume that there exist a final good produced according to the technology Y (t) = ¡ Y A (t) − γA¢ηA Y M (t) ηM ¡ Y S (t) + γS¢ηS . (1) Show that all the results in Section 20.1 hold without any change as long as capital goods are produced out of intermediate Y M as implied by equation (20.8). (2) Next assume that capital goods are produced out of the final good, so that the resource constraint becomes K˙ (t) + c (t)L(t) = Y (t), where c (t) is the per capita consumption of the final good. Show that in this model a CGP (as defined in Section 20.1) does not exist.