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List of top Mathematics Questions on Linear Programming asked in UP Board XII

Solve the following linear programming problem by the graphical method, under the following constraints: \[ x + 3y \leq 60, \quad x + y \geq 10, \quad x \leq y, \quad x \geq 0, \quad y \geq 0. \] Find the minimum and maximum values of \[ Z = 3x + 9y. \]
  • UP Board XII - 2023
  • UP Board XII
  • Mathematics
  • Linear Programming