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Answer :
Final answer:
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.
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