Evaluate the following statement as true/false/uncertain and explain your answer carefully. Please use diagrams and/or algebra when answering the question, where appropriate.

Suppose that we have a standard Solow-Swan model studied in class. For simplicity, assuming population growth is 0. At the steady state, we have:

According to the Golden rule, the optimal savings rate is the rate that maximizes steady state consumption per worker. Use calculus to derive an expression for (i.e., express as a function of the parameters of the model). Hint: solving for the steady-state consumption per capita first.

sA(k)=dk sA(k)=dk