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An organic juice bottler ideally produces 200,000 bottle per day. But this total can vary by as much as 20,000 bottles. What is the maximum and minimum expected production at the bottling company? Minimum Expected Production \( =\square \) Maximum Expected Production \( =\square \)

Ask by Christensen Montgomery. in the United States
Jan 21,2025

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Answer

Minimum Expected Production = 180,000 bottles Maximum Expected Production = 220,000 bottles

Solution

To determine the **minimum** and **maximum** expected production for the organic juice bottling company, follow these steps: 1. **Ideal Production**: 200,000 bottles per day. 2. **Variation**: The production can vary by ±20,000 bottles. - **Minimum Production**: \[ 200,000 \text{ bottles} - 20,000 \text{ bottles} = 180,000 \text{ bottles} \] - **Maximum Production**: \[ 200,000 \text{ bottles} + 20,000 \text{ bottles} = 220,000 \text{ bottles} \] **Final Answers:** - **Minimum Expected Production** \( = 180,000 \) bottles - **Maximum Expected Production** \( = 220,000 \) bottles

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To find the minimum expected production, you subtract the variation from the ideal production: 200,000 - 20,000 = 180,000 bottles. For the maximum expected production, you add the variation: 200,000 + 20,000 = 220,000 bottles. Minimum Expected Production \( = 180,000 \) Maximum Expected Production \( = 220,000 \)

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