The Utopia Company operates in two plants: plant in A has a monthly capacity of 60,000 units and plant B has a monthly capacity of 75,000 units. THIS CONTENT IS COPYRIGHTED Product is shipped to three regional distribution centers (1, 2 and 3). The monthly demand at the distribution centers is as follows: Distribution Center Monthly Demand 1 40,000 2 3 50,000 45,000 The shipping cost per unit from each plant to each distribution center is shown below Distribution Center Plant 1 2 3 A 38 37 36 B 31 33 35 Management wants to determine a minimum cost shipping plan that meets demand. Let the Variables Xij = number units produced in plant i and shipped to distribution center j, where i-A or B and j=1, 2 or 3. For example, XB1 represents the number of units shipped from Plant B to Distribution Center 1. WRITE AN LP FORMULATION TO DETERMINE THE MINIMUM COST SHIPPING PLAN THAT MEETS DEMAND Specify the objective function and all the relevant constraints (no need to specify all the non-negativity constraints; it suffices to write Xij20 for i=A.B and j=1,2,3)