2. (18 Pts) Suppose the production capacity in any week is 100 valve casings. Using the algorithm "Lot sizing with capacity constraints", determine the planned order release for the valve casings. Holding costs are $0.60 per valve and setup costs is $132 per setup. a. Does a feasible schedule exist? (3 points) b. If so create the feasible schedule. ( 5 points) c. What is the current total cost of the feasible schedule? (4 points) d. Is there a way to improve the cost of the current feasible schedule? If so find new total cost. (6 points)