Question

What are the applications of linear programming?

Answer 1

Hint: Firstly, we give a small description of linear programming. Classify linear programming and after that describe the application of linear programming with real life examples.





Complete step by step solution:A technique for finding the best answers to linear problems is called linear programming. The fields of engineering, medicine, food and agriculture, transportation, etc. all benefit greatly from its use.

Farmers in the food and agriculture industry employ linear programming techniques to maximise the types and amounts of crops that should be grown in order to boost their profitability.

Civil engineers employ linear programming techniques to address design-related and production issues in the construction industry.

By maximising efficiency, linear programming reduces time and expense in the transportation sector.





Additional Information: A linear programme consists of a set of variables, a linear objective function expressing the contribution of each variable to the desired outcome, and a set of linear constraints outlining the upper and lower bounds on the values of the variables.
In a linear programming question, the optimal value is either maximum or minimum. The object functions consist of a set linar inequalities with several variables. The linear program is basically solved by graphic method.



Note: Along with mathematical solving students must also know about the topics in-depth to answer these types of questions. A linear program proble contain at least two variable. A set of equation with one variable is not a question related to linear program .