how do you solve linear programming questions?
Without a specific problem, I'm not sure how I can help you. However, I searched Google under the key words "linear programming" to get these possible sources:
http://en.wikipedia.org/wiki/Linear_programming
http://www-unix.mcs.anl.gov/otc/Guide/faq/linear-programming-faq.html
http://people.hofstra.edu/Stefan_Waner/RealWorld/Summary4.html
http://mathworld.wolfram.com/LinearProgramming.html
http://www.ee.ucla.edu/ee236a/
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. I would also suggest using your course textbook.
I hope this helps. Thanks for asking.
To solve a linear programming question, you can follow these steps:
1. Define the objective function: Identify the problem's goal, whether it is to maximize or minimize a specific quantity.
2. Identify the decision variables: Determine the unknown quantities or variables that need to be optimized.
3. Establish the constraints: Identify the limitations or restrictions for the problem. These constraints can be represented as linear inequalities or equations.
4. Graph the feasible region: Represent the feasible solutions based on the constraints in a graph, typically a coordinate plane.
5. Identify the corner points: Find the coordinates of the intersection points of the constraint lines or surfaces. These points define the corners of the feasible region.
6. Evaluate the objective function at the corner points: Substitute the coordinates of each corner point into the objective function to determine the value at those points.
7. Determine the optimal solution: Based on the objective function (maximization or minimization), identify the corner point that yields the maximum or minimum value. This point represents the optimal solution.
8. Verify the solution: Check whether the optimal solution satisfies all the constraints. If it does, then it is a valid solution; if not, revisit the problem to identify any errors.
It's important to note that the above steps provide a general framework, but the process may vary depending on the specific problem and the techniques needed to solve it. Additionally, you can also use linear programming software or tools to solve more complex problems efficiently.