this is the question with the answers i just need help finding how one got ti the answer( show work)

no need to repeat steps just want to know how its done.

UULUUN 12.Wpis) Consider the Bennpa economy that is described by the production function: Y = AK025_0.7 Assume that the population growth rate is 3%, the technology index is constant at 50, the depreciation rate is 15%, and the saving rate is 20%. Suppose also that capital per worker is $150 in the current period (period 1). a) Given the information above complete the following table: The first thing to do is to write the production function in per-person terms and then to write down the function for each variable. See the equation line below. Period Capital (k) Output (y) Break-even Investment Consumption Investment 0 Change in capital (AK) Equation kkk y 50 C0B 02 0.18() sko 1 150.00 174.98 139.99 35.00 27.00 8.00 2 158.00 177:27 141.81 35.45 28.44 7.01 3 165.01 179 20 143.36 35.84 29.70 6.14 171.15 180.85 144.68 36.17 30.81 5.36 +++ - 38.16 0.00 38.16 211.98 190120 152 153 All variables in the table are in per-worker terms. Ignore this row Any period where the economy is at its steady state, T