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Question : 5 of 60
Marks:
+1 ,
-0
5 x + 4 y ≥ 20 , x ≤ 6 , y ≥ 3 , x ≥ 0 , y ≥ 0
5 x + 4 y ≤ 20 , x ≤ 6 , y ≤ 3 , x ≥ 0 , y ≥ 0
5 x + 4 y ≥ 20 , x ≤ 6 , y ≤ 3 , x ≥ 0 , y ≥ 0
5 x + 4 y ≥ 20 , x ≥ 6 , y ≤ 3 , x ≥ 0 , y ≥ 0
Solution:
Concept:
The intercept form of the line is given by:
‌ + ‌ = 1 Where
a is the
x -intercept and
b is the
y -intercept
Important Points:
- Make it a solid line for
≤ or
≥ , and a dashed line for
⟨ or
⟩ - If the equation is given in form of
> or
≥ then shaded area must be above the line (Away from the origin).
- If the equation is given in form of
Line l 1 ⇒ + = 1 (intercept form) ⇒ = 1 ⇒ 5 x + 4 y = 20 As, origin is not in the feasible region. ∴ 5 x + 4 y ≥ 20 Line l 2 ⇒ y ≤ 3 (from the graph) Line l 3 ⇒ 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 .
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