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Question: Answered & Verified by Expert
A shopkeeper wants to purchase two articles A and $\mathrm{B}$ of cost price 4 and 3 respectively. He thought that he mayearn 30 paise byselling 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 $\mathrm{A}$ and $\mathrm{B}, \mathrm{x}$ and y respectively, then linear constraints are
MathematicsLinear ProgrammingBITSATBITSAT 2013
Options:
  • A $x \geq 0, y \geq 0,4 x+3 y \leq 24$
  • B $x \geq 0, y \geq 0,30 x+10 y \leq 24$
  • C $x \geq 0, y \geq 0,4 x+3 y \geq 24$
  • D $x \geq 0, y \geq 0,30 x+40 y \geq 24$
Solution:
2163 Upvotes Verified Answer
The correct answer is: $x \geq 0, y \geq 0,4 x+3 y \leq 24$
$x, y \geq 0$ and $4 x+3 y \leq 24$.

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