Could you please explain me the solution ? I know the answer, but I do not know how to solve this question. Please could you explain step-by step for part (i) and part (ii) ?

Thanks for your time.

(c) (5 points) Consider the function F(K , L) = H (y), where H (y) = 69 and y = f(K , L) = K \"Lb. Show that F is homothetic, but not homogeneous. [hint to rst part: To show F is homothetic, one only needs to show (i) H is increasing, which means, H ' > 0 and (ii) f is homogeneous] n 1