Odisha Board Solutions for Chapter: Linear Programming, Exercise 2: Exercise - 3 (b)

Solve the following LPP graphically

Maximize $Z=15x+10y$

Subject to $2x+3y\le 600$

$2x+y\le 480$

$x\ge 0, y\ge 0$

Solve the following LPP graphically

Maximize $Z=20x+30y$

Subject to $2x+4y\le 20$

$2x+2y\le 12$

$4x+0y\le 16$

$x\ge 0, y\ge 0$

Solve the following LPP graphically

Maximize $Z=15x+17y$

Subject to $Z>300$

$x+y\le 30$

$8x+14y\le 300$

$x\ge 0, y\ge 0$

Solve the following LPP graphically. Consider values to one decimal point.

Maximize $Z=2x+4y$

Subject to $3x+2y\le 10$

$x+2.5y\le 7.5$

$x+1.2y\le 4.2$

$x\ge 0, y\ge 0$

Solve the following LPP graphically

Maximize $Z=800x+300y$

Subject to $x+y\le 5$

$4x+2y\le 18$

$x\ge 0, y\ge 0$

Solve the following LPP graphically

Minimize $Z=-70 x-130 y+4960$

Subject to $x+y\le 12$

$x+y⩾6$

$x⩽8$

$y\le 8$

$x\ge 0, y\ge 0, z\ge 0$

Solve the following LPP graphically and show the minimum value

Minimize $Z=16x+20y$

Subject to $x+2y\ge 10$

$x+y\ge 6$

$3x+y\ge 8$

$x\ge 0, y\ge 0$

Solve the following LPP graphically

Minimize $Z=500x+800y+\frac{50x}{4}$

Subject to $5x+4y=40$

$x\le 7, y\ge 3$

$x\ge 0$