An advertising agency offers two packages for small businesses: a basic package and a premium package.

1. Write a system of inequalities to represent the constraints. Specify what each variable represents.

- Let $ x $ be the number of basic packages sold.
- Let $ y $ be the number of premium packages sold.

Constraints:
- The total number of packages sold should be at least 60:
\[ x + y \geq 60 \]
- The total value of the packages should be more than $60,000:
\[ 1000x + 2500y > 60000 \]

2. Use technology to graph the inequalities and sketch the solution regions. Include labels and scales for the axes.

The system of inequalities consists of two inequalities representing the total number of packages sold and the total value of the sold packages. Graphing the inequalities helps visualize the feasible solutions.

Explanation:

1. Let's use the variables B and P to represent the number of basic packages and premium packages sold, respectively.

Based on the information given, we can write the following system of inequalities:

B + P > 60 (At least 60 packages need to be sold in total)
1000B + 2500P > 60000 (The total value of the packages sold needs to be more than $60,000)

2. To graph these inequalities, plot the two lines B + P = 60 and 1000B + 2500P = 60000. Then shade the region above both lines to represent the feasible solutions.