Question

1. sandra needs to hire enough new workers to increase production from 120 products a week to at least 200 products a week but cannot exceed 325 products a week due to storage constraints.

Explanation:

Step1: Define the variable

Let \( x \) be the number of additional products produced per week (due to new workers). The original production is 120, so the new production is \( 120 + x \).

Step2: Set up the inequality

We know the new production must be at least 200 and at most 325. So the inequality is \( 200 \leq 120 + x \leq 325 \).

Step3: Solve the inequality

Subtract 120 from all parts: \( 200 - 120 \leq x \leq 325 - 120 \), which simplifies to \( 80 \leq x \leq 205 \). This means the number of additional products (related to new workers) must be between 80 and 205 (inclusive) to meet the production and storage constraints.

Answer:

The number of additional products (from new workers) must satisfy \( 80 \leq x \leq 205 \) (where \( x \) is additional products per week). If we assume each new worker produces a certain number (not given, but the inequality for total production is \( 200 \leq 120 + \text{new production} \leq 325 \), leading to new production between 80 and 205).