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AI Gen: Linear Programming question bank (Mathematics)

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Q1.

In a LPP, the maximum value of Z = 4x + 6y subject to constraints x + 2y <= 10, 3x + y <= 15, x >= 0, y >= 0 is:

Topic: Linear Programming | Source: AI Generated (JEE Main)

(A)
30
(B)
35
(C)
40
(D)
50
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Q2.

The corner points of the feasible region determined by the system of linear constraints are (0, 10), (2, 2), and (4, 0). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both (2, 2) and (4, 0) is:

Topic: Linear Programming | Source: AI Generated (JEE Main)

(A)
p = 2q
(B)
p = q
(C)
q = 2p
(D)
p = 3q
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