Max s.t 5x₁ + 2x₂ 7x: +4x) ≤28 1x: + 2x≤ 10 4x: +5x₂= 20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Max
5x₁ + 2x₂
s.t 7x₁ +4x) ≤28
1x + 2x10
4x1 + 5x2= 20
Transcribed Image Text:Max 5x₁ + 2x₂ s.t 7x₁ +4x) ≤28 1x + 2x10 4x1 + 5x2= 20
QUESTION 4
The point (4, 0) is
O feasible.
O infeasible.
O an extreme point of the feasible region.
O optimal.
O none of the above.
QUESTION 5
The point (0, 4)
O is feasible.
O satisfies the first and second constraints but not the third.
Osatisfies the first and third constraints but not the second.
O satisfies the second and third constraints but not the first.
Onone of the above.
QUESTION 6
Assigning a value of 10 to the objective function, i.e., making 5x₂+2x₂=10, the line representing the objective function goes through the following two points
O (2, 0) and (5, 0)
O (0, 2) and (5, 0)
O (0, 2) and (0, 5)
O (2, 0) and (0,5)
none of the above
Transcribed Image Text:QUESTION 4 The point (4, 0) is O feasible. O infeasible. O an extreme point of the feasible region. O optimal. O none of the above. QUESTION 5 The point (0, 4) O is feasible. O satisfies the first and second constraints but not the third. Osatisfies the first and third constraints but not the second. O satisfies the second and third constraints but not the first. Onone of the above. QUESTION 6 Assigning a value of 10 to the objective function, i.e., making 5x₂+2x₂=10, the line representing the objective function goes through the following two points O (2, 0) and (5, 0) O (0, 2) and (5, 0) O (0, 2) and (0, 5) O (2, 0) and (0,5) none of the above
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