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This question tests the student's ability to solve Linear Programming problems by applying Geometric method.
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\nProblem:
\nMaximize: $\\simplify{{ox} x + {oy} y}$
\nsubject to:
\n$\\simplify{-{c11} x - {c12} y <= -{c1}}$
\n$\\simplify{-{c21} x - {c22} y <= -{c2}}$
\n$x \\le \\var{a3} $
\n$x \\ge 0$
\n$y \\ge 0$
\n\nThe feasible region in this problem is a pentagon with 5 corners. Calculate objective function values at corner points and arrange them in assending order from smallest to largest as $f_1, f_2, f_3, f_4, f_5:$
\n$f_1 = $ [[0]]
\n$f_2 = $ [[1]]
\n$f_3 = $ [[2]]
\n$f_4 = $ [[3]]
\n$f_5 = $ [[4]]
\n\nThe optimal solution is: [[8]] = [[7]]
\n$(x_{sol},y_{sol}) =$ ([[5]],[[6]])
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