Solve by Linear Programming: It is essential that your graph must explain all the important variables. In other words, the scale of the graph should be selected properly, and all the constraints, the feasible area, all the critical (corner) points should be SOLVED ALGEBRAICALLY and indicated clearly. The line(s) also have to be labeled (colored) clearly. Use graph paper and colors. Answer the question with a complete sentence explaining the meaning in context!

Each car on a freight train can hold 4200 pounds of cargo and has a capacity of 480 cubic feet. The freight service handles two types of packages: small - which weigh 25 pounds and are 3 cubic feet each, and largewhich are 50 pounds and are 5 cubic feet each. The freight service charges $20 for each small package and $35 for each large package. a. Find the number of each type of package that should be placed on a train car to maximize revenue. b. Maximize the revenue. What is the best thing for the company to do? Explain.