A carpenter earns a profit of ₹ 50 and ₹ 80 on one chair and one table respectively. The requirement and availability of wood and labour are tabled as :

Required	Chair	Table	Available quantity
Wood	3	5	150
Labour	1	2	56

The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively :

The minimum value of $z = 3x + 6y$ subject to the constraints $2x + 3y \leq 180$, $x + y \geq 60$, $x \geq 3y$, $x \geq 0$, $y \geq 0$ is :

Given a linear programming problem,

Max $Z = 22x + 18y$, Subject to constraints

$x + y \leq 20, 360x + 240y \leq 5760, x \geq 0, y \geq 0$. Its corner points are :

If the objective function $z=10(x-7y+190)$ and the corner points of the bounded feasible region are A(0,4), B(0,5), C(3,5), D(5,3), E(5,0), F(4,0), then the minimum value of z will be:

Objective function of a LPP represent

Match List - I with List - II.

Choose the correct answer from the options given below :

The maximum value of $Z = 3x + 4y$ subjected to the constraints $3x + 7y \leq 21$, $5x + 2y \leq 10$; $x, y \geq 0$ is :