Question:
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 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
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For linear programming problems, define the constraints based on the given limitations on resources and profits.
Updated On: Mar 25, 2026
- \( x \geq 0, y \geq 0, 4x + 3y \leq 24 \)
- \( x \geq 0, y \geq 0, 3x + 10y \leq 24 \)
- \( x \geq 0, y \geq 0, 4x + 3y \leq 24 \)
- \( x \geq 0, y \geq 0, 30x + 40y \geq 24 \)
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The Correct Option is C
Solution and Explanation
Step 1: Define the constraints.
The constraints on the number of articles are based on the total cost and the earnings. The inequality \( 4x + 3y \leq 24 \) ensures that the total cost does not exceed the limit.
Step 2: Conclusion.
The linear constraints are \( x \geq 0, y \geq 0, 4x + 3y \leq 24 \). Final Answer: \[ \boxed{x \geq 0, y \geq 0, 4x + 3y \leq 24} \]
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