Comprehension questions for Linear Programming
Please answer these questions concisely (1-2 sentences each).
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Given a linear program with decision variables x_1 and x_2,
consider the following objective function: max Z = x1 + x2 – x1*x2. Is there
any problem with this objective? *
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Consider you are using a linear program to optimize the design of a house. Imagine, you have a decision variable “length” and you have the following constraint: length^2 <= 50. Is there any problem with this constraint? *
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Does every linear program have a solution? Briefly explain. *
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Could a linear program have two different but optimal solutions? *
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Which (sub-)section in the readings did you find difficult and/or did you not fully understand and/or would you like see covered in the lecture in detail. Be as specific as you like. *
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