Therefore, 4. Emma is a vendor selling pens and notebooks. Each pen costs Php 20 and each notebo wants to sell at least 10 items, and she can spend up to Php 500 on purchasing these i that represents the possible number of pens p and notebooks n that Emma can buy. Solution Let: Inequali CS C
Answer (1)
Answer:Let's help Emma with her purchasing decision.Let p = number of pens and n = number of notebooks.Constraints:1. Total cost: 20p + 50n ≤ 500 (Emma's budget)2. Total items: p + n ≥ 10 (Emma wants to sell at least 10 items)3. Non-negativity: p ≥ 0, n ≥ 0 (number of items cannot be negative)Inequality representation:20p + 50n ≤ 500p + n ≥ 10Graphical representation:(You can visualize the inequalities as a system of linear equations on a graph)Solutions:Some possible combinations of pens and notebooks Emma can buy:| Pens (p) | Notebooks (n) | Total Cost || --- | --- | --- || 10 | 0 | 200 || 8 | 2 | 240 || 6 | 4 | 280 || 4 | 6 | 320 || 2 | 8 | 360 || 0 | 10 | 400 |
