Final answer:
Linear programming is used to optimize resources and achieve the best possible outcome in real-life situations. An example can be seen in a manufacturing company that wants to maximize its profit by determining the optimal production levels of different products based on available resources and constraints.
Step-by-step explanation:
A real-life example of linear programming can be seen in a company that manufactures two products, let's say Product A and Product B. The company has limited resources, such as labor and raw materials, and wants to maximize its profit. Linear programming can be used to determine the optimal production levels of each product that will maximize the profit within the given constraints.
For example, let's assume that it takes 2 hours of labor to produce one unit of Product A and 3 hours of labor to produce one unit of Product B. The company has a total of 60 hours of labor available. If the profit per unit of Product A is $10 and the profit per unit of Product B is $15, the company can set up a linear programming model to determine how many units of each product to produce in order to maximize their profit while using the available labor hours.
This is just one example of how linear programming is used to solve real-life problems by optimizing resources and achieving the best possible outcome.