Let YE. = ZDKENE'\" and Y1 = zIKfNII'\". Subscnpts D and 1 denote the current and future periods respectively. Let d is the depreciation rate; I is the investment; run is the wage rate in period 0'; W1 is the wage rate in period 1; no is the prot in period l]; m is the prot in period 1; 'Iu' is the present value of the profits; and r is the real interest rate. [a] Derive the optimal investment schedule (Hint; Net MPK1 is equal to real interest rate]. Show all steps and provide explanations for the hi]! equations