List of top Mathematics Questions on Linear Programming asked in GUJCET

For linear programming problem, the objective function is \( z = px + qy \), \( p,q>0 \). If at the corner points \( (0,10) \) and \( (5,5) \), the value of \( z \) are 90 and 60 respectively, then the relation between \( p \) and \( q \) is _____
The coordinates of the corner points of the bounded feasible region are \( (0,10), (5,5), \\ (15,15), (0,20) \). The minimum of the objective function \( z = 3x + 9y \) is _____