I need question 3 Please show the steps clearly

Question 3 a) Considering the original (primal) transportation problem that you are given in Question 1, create an assignment problem by presenting the cost (Initial) matrix for Hungarian algorithm b) Using Hungarian algorithm, find the reduced cost matrix for the cost (initial) matrix you obtained in part (a). c) Is the reduced cost matrix that you found on part (b) yield an optimum solution? Why? Explain. uction Question 1 Given the following transportation problem that is to distribute positive amount of goods while aiming to minimize its total cost withc_lt's presented in the cells: Destination 1 2 where the supply capacity of ith supplier is 2,3, 2 and demand requirement of th destination is 2, 2 respectively Origin 1 2 3 U N andcij is the unit transportation cost of transporting goods from ith origin to jth destination Gre the primallinearmeramming mathematical model of the balanced transportation problem. (Define DVs and indeces properly.)