Question 3. (20 points) Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B, and C, are 2500, 3000, and 4500, respectively. The production and shipping details are as follows: Production details: Factory | Maximum capacity 1 3000 2 2000 3 3000 Shipping details (with per-unit shipping cost in dollars): Project 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.)