Linear Programm...

The taxi fare in a city is as follows. For the first km the fare is $$Rs.10$$ and subsequent distance is $$Rs.6 / km.$$ Taking the distance covered as $$x \ km$$ and fare as $$Rs\ y$$ ,write a linear equation.

The inequalities $$f(-1)\le -4,f(1) \le 0$$ & $$f(3) \le 5$$ are known to hold for $$f(x)=ax^{2}+bx+c$$ then the least value of $$'a'$$ is:

The feasible region for anLPP is shown shaded in the figure. Find the maximum value of the objective function $$z=11x+7y$$. 

Shade region is represented by

The maximum value of $$P=3x+4y$$ subject to the constraints $$x +y \le 40,x+2y \le 60,x \ge 0$$ and $$y \ge 0$$ is 

The problem associated with  $$ LPP$$  is

The maximum value of $$4x+5y$$ subject to the constraints $$x+y \le 20,x+2y \le 35,x-3y \le 12$$  is

A_____ in a table represents a relationship among a set of values.

If $$x$$ is any real number, then which of the following is correct?

The shape of the region determined by $$ 2x+6y \geq 12, 3x +2y \geq 6, x+y \leq 8, x \geq 0, y \geq 0$$