I am studying for my upcoming test and need help finding the correct answer with work given. Thank you :)

4) Assume w=20 and r=10 and let production function be as follow: q (L, K) = 14/5 K3/10 a) Derive the expansion path. (6 points) b) What is the optimal level of L and K for q=100. (8 points) c) For K=1010 find the short-term cost function, TC(q). (6 points) d) Derive the long-run cost function TC(q). (8 points)