show all steps please Two plants supply three customers with medical supplies. The unit costs of shipping from the plants tothe customers, along with the supplies and demands, are given in the following table.FromPlant 1Plant 2DemandCustomer 1$55$1010ToCustomer 2$65$1510Customer 3$80$2510|Supply3550The company's goal is to minimize the cost of meeting customers' demands.(a) Formulate this problem as a transportation problem by constructing the appropriate parametertable. (Initialization)(b) Write a linear programming formulation for this problem.(c) Obtain an optimal solution using the transportation simplex method with Northwest Corner rule.

Answered: Image /qna-images/answer/7d1a300e-8cfc-4f38-9358-d2cca9d1daec.jpgDecision variableObjective functionSubject to constraintsNon-negativity constraintsxij>=0, for all i,j=1,2,3The given model is unbalanced as demand is less than supply. Thus, a dummy variable/customer is added.Start from the North-west of the matrix and assign value to the common cell by comparing supply and demand for the same. Thus, the demand of C1 can be fulfilled from P1. Similarly, the demand of C2 can be fulfilled from the remaining capacity of P1. Now, the demand of C3 can be fulfilled from the remaining capacity of P1. Last assignmentThus, the optimal assignment and the minimum optimal cost is as follows: