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[Solved]: Question 1 max,ax_(1)+9x_(2) ,4x_(1)+ax_(2)<=12
Home / Expert Answers / Advanced Math / question-1-max-ax-1-9x-2-4x-1-ax-2-lt-12-x-1-x-2-lt-a-x-1-gt-0-x-2-gt-0-ainr-pa595

(Solved): Question 1 max,ax_(1)+9x_(2) ,4x_(1)+ax_(2)<=12 ,x_(1)+x_(2)<=a ,x_(1)>=0,x_(2)>=0 ,ainR ...


Question 1

max,ax_(1)+9x_(2) ,4x_(1)+ax_(2)<=12 ,x_(1)+x_(2)<=a ,x_(1)>=0,x_(2)>=0 ,ainR

For which values of a does the LP have an alternative optimal solution(Draw the feasible region for one value)? For which values of

a

is the LP infeasible? For which values of a does the LP have a unique solution? Fix a specific value of a for which the feasible region is nonempty and the find the cone of exit, at each of the corner points. Fix a specific value of a such that the LP has alternative optimal solutions. Find the standard form LP. Using formulas construct the optimal table directly without any simplex iterations.

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