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A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints are
  • a)
    x > 0, y > 0, 4x +3 y < 24
  • b)
    x > 0, y > 0, 30x + 10 y < 24
  • c)
    x > 0, y > 0, 4x +3 y > 24
  • d)
    x > 0, y > 0, 30x +40 y > 24
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A shopkeeper wants to purchase two articles A and B of cost price ` 4 ...
The cost price of article A is `4 and the shopkeeper wants to earn a profit of 30 paise by selling it. Therefore, the selling price of article A is `4 + 0.30 = `4.30.

Similarly, the cost price of article B is `3 and the shopkeeper wants to earn a profit of 10 paise by selling it. Therefore, the selling price of article B is `3 + 0.10 = `3.10.

The total cost of purchasing x articles of A and y articles of B is given by the equation:
4x + 3y ≤ 24

The total profit earned by selling x articles of A and y articles of B is given by the equation:
0.30x + 0.10y ≤ ?

The shopkeeper wants to maximize his profit, so we need to find the maximum value of 0.30x + 0.10y.

The linear constraints for this problem are:
4x + 3y ≤ 24
0.30x + 0.10y ≤ ?

The value of ? depends on the maximum profit the shopkeeper wants to earn.
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Community Answer
A shopkeeper wants to purchase two articles A and B of cost price ` 4 ...
x, y > 0 and 4x + 3y < 24
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A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer?
Question Description
A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. 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 A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer?.
Solutions for A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A shopkeeper wants to purchase two articles A and B of cost price ` 4 and ` 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total articles worth more than ` 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints area)x > 0, y > 0, 4x +3 y < 24b)x > 0, y > 0, 30x + 10 y < 24c)x > 0, y > 0, 4x +3 y > 24d)x > 0, y > 0, 30x +40 y > 24Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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