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A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.
Zmin = 2A + 3B
S⁄t ∶ 0.6 A + 0.3 B ≥ 45
0.1 A + 0.5B ≥ 25
A, B ≥ 0
Which of the following statement is correct?
  • a)
    Decrease of 3 units in A will cause increase of 2 units in B
  • b)
    Decrease of 3 units in A will cause decrease of 2 units in B
  • c)
    Decrease of 2 units in A will cause increase of 3 units in B
  • d)
    Decrease of 2 units in A will cause decrease of 3 units in B
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A product is manufactured using two raw materials A and B. A is taken...
Explanation:

Given Linear Programming Problem (LPP):
- Objective function: Zmin = 2A + 3B
- Constraints:
- 0.6A + 0.3B ≥ 45
- 0.1A + 0.5B ≥ 25
- A, B ≥ 0

Analysis:
- To find the correct statement, we need to analyze the coefficients of A and B in the objective function and constraints.

Objective Function:
- Coefficient of A: 2
- Coefficient of B: 3

First Constraint:
- Coefficients of A and B are 0.6 and 0.3 respectively.
- To maintain the feasibility of the constraint, an increase in A should be accompanied by a greater increase in B.

Second Constraint:
- Coefficients of A and B are 0.1 and 0.5 respectively.
- To maintain the feasibility of the constraint, an increase in A should be accompanied by a greater increase in B.

Conclusion:
- Since the coefficients of B are greater in both constraints as well as the objective function, a decrease in A will lead to an increase in B.
- Therefore, the correct statement is: Decrease of 3 units in A will cause increase of 2 units in B.
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A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A product is manufactured using two raw materials A and B. A is taken on x-axis and B is taken on Y-axis and the LPP is as follows.Zmin = 2A + 3BS⁄t ∶ 0.6 A + 0.3 B ≥ 450.1 A + 0.5B ≥ 25A, B ≥ 0Which of the following statement is correct?a) Decrease of 3 units in A will cause increase of 2 units in Bb) Decrease of 3 units in A will cause decrease of 2 units in Bc) Decrease of 2 units in A will cause increase of 3 units in Bd) Decrease of 2 units in A will cause decrease of 3 units in BCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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