You are an office manager. You need to purchase new filing cabinets. You know that Abe Cabinets cost $40 each, require 6 square feet of floor space and hold 8 cubic feet of files. On the other hand, each Lincoln Cabinet cost $80, require 8 square feet of floor space and holds 12 cubic feet. The budget permits you to spend no more than $560 on files, while the office has room for no more than 72 square feet of cabinets. You desire the greatest storage capacity within the limitations imposed by funds and space. How many of each type of cabinet should you buy? Clearly write the linear program that models this situation. Make certain to define your variables. Use the corner point (graphical) method to solve. Make certain to label your graph and show all steps in the solution process including all corner points of the area of feasible solutions.

Q: str

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A:

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