How should I interpret this kind of math problem? I'm studying Math Modeling. I've covered topics such as IP, BIP, MIP, Either-Or Constraints, K out of N constraints, and possible N values for functions in constraints (although, I really don't have to write out f(x1,x2,....) as a literal thing). The problem is shown here:

6. The Research and Development Division of the Progressive Company has been developing four possible new product lines. Management must now make a decision as to which of these four products actually will be produced and at what levels. Therefore, an operations research study has been requested to find the most profitable product mix. A substantial cost is associated with beginning the production of any product, as given in the first row of the following table. Management's objective is to find the product mix that maximizes the total profit (total net revenue minus start-up costs). Product 1 2 3 4 Start-up cost $50,000 $40,000 $70,000 $60,000 Marginal revenue $ 70 $ 60 $ 90 $ 80 Let the continuous decision variables X, X2, X3, and X4 be the production levels of products 1, 2, 3, and 4, respectively. Manage-ment has imposed the following policy constraints on these variables: (1) No more than two of the products can be produced. (2) Either product 3 or 4 can be produced only if either product 1 or 2 is produced. (3) Either 5x2 + 3x2 + 6x3 + 4X4 S 6000 Or 4x1 + 6x2 + 3x3 + 5x4 S 6000. (a) Introduce auxiliary binary variables to formulate a mixed BIP model for this problem. (b) Use the computer (Excel Solver) to solve the model