Solve the following linear programming problem graphically: Minimise z=5 x-2 y subject to the constraints

Min z =5 x -2 y Min Z =160 at x =40, y =20

CBSE 2024 · Region 1 · Set 3 · Q26 · 3 marks

Solve the following linear programming problem graphically : Minimise $\displaystyle \mathrm{z}=5 \mathrm{x}-2 \mathrm{y}$ subject to the constraints \[\begin{aligned} & \mathrm{x}+2 \mathrm{y} \leq 120 \\ & \mathrm{x}+\mathrm{y} \geq 60 \\ & \mathrm{x}-2 \mathrm{y} \geq 0 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \]

Linear ProgrammingLinear Programming Problem and its Mathematical FormulationApplyshort_answermedium

Corner Points	$\displaystyle \mathrm{Z}=5 \mathrm{x}-2 \mathrm{y}$
$\displaystyle \mathrm{A}(60,0)$	$\displaystyle 300$
$\displaystyle \mathrm{~B}(40,20)$	$\displaystyle 160$
$\displaystyle \mathrm{C}(60,30)$	$\displaystyle 240$
$\displaystyle \mathrm{D}(120,0)$	$\displaystyle 600$