A rm has a productivity equation Q = L K2 where L is labour and K is capital. The unit cost (cost for each unit of production) is c = 2. The price in the market for the good is 15. The wage for each hour is w=10. Also, there is a x cost equal to K Furthermore, there is a worker with utility equation U = C2 R where C is the consumption and the price of consumption good is PC = l. The maximum working hours (T) per week are 100. So, T = L + R where R is the leisure time. Calculate the Optimum decision for working hours, leisure time and consumption by the consumer. Then calculate the capital investment by the rm for the maximisation of the prots. (Hind: This is the only worker for the firm and he will decide for the working hours, so the firm will decide for the capital. Assume that L = Q)