Question: Simple optimization problem

dear all,

          i have a simple optimization problem. the objective function is like A*X + B = E and the constraints are 100 <E < 8000 and 10<X<600. I want to find the Min and Max ranges of A and B such that Amin*Xmin+Bmin=Emin and analogous for maximum. I am not sure about the correctness of my modeling. Please guide me to proceed. Thanks.

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