Question is attached below. Thank you so much for helping me!

{20 points) Cost Functions Consider the production function ch, I?) : k6. Let r represent the price of k and w the price of E. (a) (5 points) Find the marginal rate of technical substitution between k and f. (b) (5 points) Find the short-run cost function and the average Wariabie cost and total cost functions. (c) (10 points) Find the long-run cost function