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Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) is
  • a)
    p = 2q
  • b)
    p = q
  • c)
    p = 3q
  • d)
    p = q/2
Correct answer is 'D'. Can you explain this answer?
Verified Answer
Corner points of the feasible region determined by the system of linea...
We have Z = px + qy , At (3, 0) Z = 3p ……………………………….(1) At (1 , 1) Z = p + q …………………………(2) Therefore , from (1) and (2) : We have : p = q/2 .
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Corner points of the feasible region determined by the system of linea...
Are constants. The objective is to maximize Z.

To determine the values of p and q, we can use the corner points to find the maximum value of Z.

At (0, 3):
Z = p(0) + q(3) = 0 + 3q = 3q

At (1, 1):
Z = p(1) + q(1) = p + q

At (3, 0):
Z = p(3) + q(0) = 3p + 0 = 3p

We want to maximize Z, so we want to find the maximum value of q or p.

Since we have three corner points, we can compare the values of q and p at each point to determine the maximum values.

At (0, 3): q = 3q
At (1, 1): p + q
At (3, 0): 3p

From these equations, we can see that the maximum value of q is 3, and the maximum value of p is 3.

Therefore, Z = px qy = 3x + 3y is the objective function to maximize.
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Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) isa)p = 2qb)p = qc)p = 3qd)p = q/2Correct answer is 'D'. Can you explain this answer?
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Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) isa)p = 2qb)p = qc)p = 3qd)p = q/2Correct answer is 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) isa)p = 2qb)p = qc)p = 3qd)p = q/2Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px+qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) isa)p = 2qb)p = qc)p = 3qd)p = q/2Correct answer is 'D'. Can you explain this answer?.
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