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BITSAT 2013
Exam
BITSAT
Year
2013
Subject
Mathematics
Chapter
Linear Programming

BITSAT 2013 · Mathematics · Linear Programming

A shopkeeper wants to purchase two articles A and B of t price 4...

A shopkeeper wants to purchase two articles A and B\mathrm{B} of \cos t price 4 and 3 respectively. He thought that he mayearn 30 paise byselling article A and 10 paise by selling article BB. He has not to purchase total articles worth more than ' 24. If he purchases the number of articles of A\mathrm{A} and B,x\mathrm{B}, \mathrm{x} and y respectively, then linear constraints are

Options

  1. Ax≥0,y≥0,4x+3y≤24x \geq 0, y \geq 0,4 x+3 y \leq 24
  2. Bx≥0,y≥0,30x+10y≤24x \geq 0, y \geq 0,30 x+10 y \leq 24
  3. Cx≥0,y≥0,4x+3y≥24x \geq 0, y \geq 0,4 x+3 y \geq 24
  4. Dx≥0,y≥0,30x+40y≥24x \geq 0, y \geq 0,30 x+40 y \geq 24

Correct answer

A. x≥0,y≥0,4x+3y≤24x \geq 0, y \geq 0,4 x+3 y \leq 24

Step-by-step solution

x,y≥0x, y \geq 0 and 4x+3y≤244 x+3 y \leq 24.
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