I got a lot of questions on this HW, but I don't really have no idea about this problem. can you help?

Consider a rm that operates for two periods using capital and labor to produce. The rm starts with K units capital and has to decide optimally its labor demand for both periods and investment so as to maximize the discounted value of prots. When the rm chooses the investment it is uncertain about the value of future productivity. The rm thinks that with probability p the productivity is going to be high (2h), and with probability 1 p it is going to be zero7 so that no production takes place in the future (no labor is hired and no capital is used7 so there is no depreciation). Since the rm does not know for sure the value of z' it maximizes the expected value of prots7 which is: \"(211) 77(0) ,_ Amlag'cle(K,N) wN I+p1+T +(1 p)1+r s.t.K (1 6)K+I (2) (a) What are the prots in the second period if z' = Z}, ? (b) What are the prots in the second period if z' = 0? (c) What is the optimality condition for investment? (d) Note that when p = 1 this problem is the same as the one we discussed in class. How does the investment demand change when p