Hello Tutor, I will be glad if this solution comes out nice and neat especially if it's written because it's hard to see the format of the usual answer. And most importantly I will like to see every step because I will present this to my professor. Thank you.

4. A firm produces an output y using two inputs 1 and z9 as y = \\/r12x2. The firm has to use at least one unit of 1 in its production process. The input prices of x1 and x5 are given by wy and ws respectively. Assume that the firm wishes to minimize the cost of producing g units of output a. Set up the firm's cost minimization problem. Is the feasible set closed? compact? convex? (5 pts) b. Describe the Kuhn-Tucker first order conditions. Are they sufficient for a solution? Why or why not? (5 pts)