List of top Mathematics Questions on Linear Programming asked in MHT CET

The difference between the maximum value and the minimum value of the objective function \(z = 3x+y\) subject to the constraints \(2x+3y\leq 6\), \(x+y\geq 1\), \(x\geq 0\), \(y\geq 0\) is....

The maximum value of \(z = 4x+y\) subject to the constraints \(x+y\leq 5,2x+y\leq 7,3x+2y\leq 11,x\geq 0,y\geq 0\) is \(\ldots\)

The difference between the maximum and minimum values of the objective function \(Z = 3x+5y\), subject to the constraints \(x+3y\leq 60\), \(x+y\geq 10\), \(x-y\leq 0\), \(x,y\geq 0\) is

The corner points of the feasible region determined by a system of linear constraints are \((0,3),(1,1)\) and \((3,0)\). If the objective function is \(z = px+qy\), where \(p,q > 0\), then the condition on p and q such that the minimum of z occurs at both \((3,0)\) and \((1,1)\) is _____

In a triangle ABC with usual notations if \( b \sin C (b \cos C + c \cos B) = 42 \), then area of triangle ABC =}

If a random variable $X$ follows the Binomial distribution $\text{B}(33, \text{p})$ such that $3\text{P}(\text{X} = 0) = \text{P}(\text{X} = 1)$, then the variance of X is

In a triangle ABC with usual notations, if $3a = b + c$, then $\cot \frac{B}{2} \cdot \cot \frac{C}{2} =$

The common region of the solutions of the inequations $x + 2y \ge 4$, $2x - y \le 6$ and $x, y > 0$ is

The solution set for the system of linear inequations $x+y \ge 1 ; 7x+9y \le 63 ; y \le 5 ; x \le 6, x \ge 0$ and $y \ge 0$ is represented graphically in the figure. What is the correct option?

The shaded part of the given figure indicates the feasible region. Then the constraints are