develop a linear programming optimization model to determine the distribution plan that minimizes the total transportation cost

1, Ethan Steel, Inc. has two factories that manufacture steel components for two different rail projects located at two different sites. They would like to determine the number of steel components they need to transport from each factory to each project site. The demand for the steel components for the two projects, Project A, and Project B are 3000, and 4000, respectively. The production and shipping details are as below: Production details: Factory |Maximum capacity 2000 5000 Shipping details (with per unit shipping cost in dollars): Project Factory A B Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)