F(K,L)= K^1/3L^1/3

please answer part e, f, g and h (e) The short run cost function and short run marginal cost (for simplicity assume w and v are both equal to 1 for the rest of the question) (f) The short run supply curve for single firm (g) The partial equilibrium price given a single consumer with a utility function of U(x,y)=x^1/4y^3/4 and an income of l=1000, and a single firm with the given production function and K=64 (assume we are looking at the market for x) (h) The profit of the firm in equilibrium