The corner points of the feasible region determined by the following system of linear inequaliti...
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The corner points of the feasible region determined by the following system of linear inequalities \( 2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0 \) are \( (0,0),(5,0),(3,4) \) and \( (0,5) \). Let \( \mathrm{Z}=p x+q y \), where \( p, q0 \). Condition on \( p \) and \( q \), so that the maximum of \( \mathrm{Z} \) occurs at both \( (3,4) \) and \( (0,5) \) is \( q=3 p \)
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