Please help me solve thi following question

Problem 2 (50 points total. 10 points on a, b, and c; 5 points on d; and 15 points on e) Let p denote output price and wi and w2 input prices. Assume the production function: EX - X consider" ". Neglect any potential inequalities and non-negativities (i.e., do not the Kuhn-Tucker conditions in any parts of this problem). a) Assume a cost minimizing producer and derive the associated (output) conditional input demand functions. b) Derive the associated cost function. c) Snow Inat c = Zy W W Is a valla Cost function, Le., (I) nondecreasing in output, nondecreasing in input prices, (iii) homogenous of degree one in input prices, and (iv) concave in prices. d) Assume a profit maximizing producer, use the cost function from part c, and use the second stage of the two-stage procedure for profit maximization. Can you derive the associated supply function? If no, why not? If yes, derive the supply function. eJAssume a Profit maximizing producer, and use the production function VE= x x Derive the unconditional input demand functions and associated supply function by 1 using the one-stage procedure to profit maximization