Develop a linear programming model for this problem. (Do Not Solve The Problem)

Warehouse City E City F City G City H Warehouse Supply
A 0.53 0.21 0.52 0.41 4000
B 0.31 0.38 0.41 0.29 6000
C 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.