Recent questions tagged linear-programming

Which one of the options given represents the feasible region of the linear programming model:$$\begin{gathered}\text { Maximize } 45 X_1+60 X_2 \\X_1 \leq 45 \\X_2 \leq ...

The problem of maximizing $z=x_1-x_2$ subject to constraints $x_1+x_2 \leq 10, \: x_1 \geq 0, x_2 \geq 0$ and $x_2 \leq 5$ hasno solutionone solutiontwo solutionsmore tha...

Maximise $Z=5x_{1}+3x_{2}$subject to$\begin{array}{} x_{1}+2x_{2} \leq 10, \\ x_{1}-x_{2} \leq 8, \\ x_{1}, x_{2} \geq 0 \end{array}$In the starting Simplex tableau, $...

Maximize $Z = 15X_1 + 20X_2$ subject to $$\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$$The above linear programming prob...

For the linear programming problem:$$\begin{array}{ll} \text{Maximize} & Z = 3X_1 + 2X_2 \\ \text{Subject to} &−2X_1 + 3X_2 \leq 9\\ & X_1 − 5 X_2 \geq −20 \\ & X_1, ...

Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints$x_1+x_2 \leq 8$$x_1+2x_2 \leq 4$$x_1 \geq 0$ , $x_2 \geq 0$The maximum value of the objective...

The actual sales of a product in different months of a particular year are given below:$$\begin{array}{|c|c|c|c|c|c|c|}\hline \text{September} & \text{October} & \text{...

A linear programming problem is shown below.$\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{...