====== Unit 05: Linear Inequalities and Linear Programming ======
Here is the list of important questions.
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  * Graph the solution region of $2x+y \geq 2$ --- // BSIC Gujranwala (2016)//
  * Graph the feasible region subject to the following constraint: --- // BSIC Gujranwala (2016)//
$2x-3y \leq 6$\\
$2x+3y \leq 12$\\
$x \geq 0$, $y \geq 0$ \\
  * Graph the inequalities \\ $2x+y\geq 2$ \\ $x+2y\leq10$ \\ $x\geq0,y\geq0$ --- // BSIC Gujranwala (2015)//
  * Indicate solution set of linear inequality $2x+3y\leq 12$ by shading. --- // BSIC Gujranwala (2015)//
  * Maximize $z=x+3y$\\ Subject to \\ $2x+5y\leq30$\\ $5x+4y\leq20$\\ $x\geq0$, $y\geq0$ --- // BSIC Gujranwala (2015)//
  * Graph the feasible region of the system of linear inequalities\\ $x+2y\leq 14$\\ $3x+4y\leq 36$\\  $2x+y\leq 10$\\  $x\geq0, y\geq0$ and find the corner points. --- // FBSIC (2017)//
  * Maximize $f(x)=2x+5y$ subject to the constraints \\ $-x\leq8$\\  $-y\leq4$\\ $x\geq0, y\geq 0$ .--- // FBSIC (2016)//
  * Find the area bounded $\cos x$ function from $x=-\frac{\pi}{2}$ to $x=\frac{\pi}{2}$.--- // BSIC Rawalpindi (2017)//
  * Graph the solution set of the linear inequality $x+y \geq 5$ by shading.--- // BSIC Rawalpindi (2017)//
  * Minimize $z=3x+y$ subject to the constraints\\ $3x+5y\geq 15$\\ $x+6y\geq 9$\\ $x\geq0, y\geq0$ --- // BSIC Rawalpindi (2017)//
  * Graph the feasible region of following inequality $2x-3y\leq6$ --- // BSIC Sargodha(2016)//
  * Graph the feasible region of following system of linear inequalities, also find corner points $2x-3y\leq6\\  2x+3y\leq 12\\ x\geq0, y\geq 0$--- // BSIC Sargodha(2016)//
  * Define feasible region and feasible solution.--- // BSIC Sargodha(2017)//
  * Define optimal solution.--- // BSIC Sargodha(2017)//
  * Graph the feasible region of the following system of linear inequalities, also find corner points\\ $2x+3y \leq 18$\\ $2x+y\leq 10$\\ $x+4y\leq 12$\\ $x\geq0, y\geq 0$.--- // BSIC Sargodha(2017)// 





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{{tag>FSc FSc_Part2 Important_Questions_FSc_2}}