Develop a linear programming model for this problem. (Do Not Solve The Problem Warehouse City E City. E City G City H Warehouse Supply 0.53 0.21 0.52 0.41 4000 B 0.31 0.38 0.41 0.29 6000 0.56 0.32 0.54 0.33 4000 D 0.42 0.55 0.34 0.52 5500 City Demand 3.400 2,000 6.500 5.750 Based on the data provided, write your answers to the following questions: 1. Write the objective function for this model 2. Write the supply constraint for Warehouse A. 3. Write the city demand constraints for all four cities. Write the variables as per the following example: The variable of shipping from warehouse B to City His Xbh Let Xi = each combination of warehouse i and city