To solve **linear programming **problems, we start by writing out our inequalities on a graph with an x-axis and a y-axis. This becomes particularly valuable when we have inequalities in two variables.

**Exercise**

Let’s start with exercise 17 from pages 197 and 198 of the extended textbook

The answers are below:

**Linear Programming**

There are effectively three steps to follow in a linear programming question:

- Identify the lines that need to be drawn based on the information in the question (i.e. treat the inequalities like equations to start off with);
- Draw little arrows on the lines to indicate which side of them is represented by the inequality;
- Shade in the region which satisfies all of the lines that have been drawn on the graph.

**Exercise**

Now let’s complete exercise 18 from pages 200 to 202 of the extended textbook:

The answers are below: