KCET2021MathematicsLinear Programming
The shaded region is the solution set of the inequalities
Options
- A5 x+4 y 20, x 6, y 3, x 0, y 0
- B5 x+4 y 20, x 6, y 3 , x 0, y 0
- C5 x+4 y 20, x 6, y 3, x 0, y 0
- D5 x+4 y 20, x 6, y 3, x 0, y 0
Correct answer
C. 5 x+4 y 20, x 6, y 3, x 0, y 0
Step-by-step solution
Lets draw the given shaded region, Line l₁ x 4 + y 5 =1 (intercept form) 5 x+4 y 4 5 =1 5 x+4 y=20 As, origin is not in the feasible region. 5 x+4 y 20 Line l₂ y 3 (from the graph) Line l₃ x 6 (from the graph) and coordinate axes x 0, y 0 Hence, inequalities are 5 x+4 y 20, y 3, x 6 , x 0, y 0 .