Microeconomics and business management, including planning, manufacturing, transportation, and other challenges, sometimes employ linear programming to either maximize the profits or reduce the costs of a production plan.

I think one of the very useful application of linear programming is when doing business, as you sort out things and try to solve problems that occurs in your factory or product. 

In supply chain management to optimize production and distribution processes.

Linear programming application may include production scheduling, inventory policies or allocation of advertising budget

According to lesson, POM-QM Software, it's super helpful for solving problems.

Linear programming is used in many industries such as energy, telecommunication, transportation,  manufacturing, etc.

POM-QM or Production Operation Management and Quantitative Methods software is one of the most valuable applications for solving linear programming or other problems like transportation problems, statistical functions, decision analysis, and more.

If you have learned the lessons well. You don't have to post this no brainer question here.