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Question: Answered & Verified by Expert
Laksmi wants to buy few bangles and ear drops. Each bangle costs $₹ 5$ and each ear drop costs $₹ 10$. She should buy atleast 6 bangles and atmost 2 ear drops. If she buys $x$ bangles and $y$ ear drops with minimum expenditure, then the formulation for this linear programming is
MathematicsLinear ProgrammingCOMEDKCOMEDK 2014
Options:
  • A Maximize $5 x+10 y$ subject to $x \geq 6, y \leq 2, x$, $y \geq 0$.
  • B Minimise $5 x+10 y$ subject to $x \geq 6, y \leq 2, x, y \geq 0$.
  • C Maximise $x+y$ subject to $5 x+10 y \leq 50, x, y \geq 0$.
  • D Maximise $6 x+2 y$ subject to $5 x+10 y \leq 50, x$, $y \geq 0$.
Solution:
2795 Upvotes Verified Answer
The correct answer is: Minimise $5 x+10 y$ subject to $x \geq 6, y \leq 2, x, y \geq 0$.
Minimise $5 x+10 y$
Subject to $x \geq 6$
$y \leq 2$
$x, y \geq 0$

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