Please show the workings steps involved

3 Tobin's q and investment Suppose the production function is Y = AK \"2151/2, where A = 1 and L = 100. Suppose further that the price of capital good (Pk) is 10, the price of output (P) is 4, the (annual) interest rate (r) is 0.1, and the (annual) depreciation rate (6) is 0.1. (M H 1. What is the replacement cost of the installed capital? 2. Suppose currently we have K = 64. Calculate the market value of the installed capital (assume that both A and L remain at the current values in the future). What is the value of Tobin's q? Should the rm increase or decrease its capital? 3. What is the optimal level of capital? What is the value of Tobin's q under the optimal level of capital? new optimal level of capital