1. Estimate the total sales during the first 6 months of the year and the last 6 months of the year. Round your answers to two decimal places. Total sales first 6 months= Total sales last 6 months= b. What are total sales for the entire year? Round your answer to two decimal places. Total sales= c. Find the average sales per month for the entire year. Round your answer to two decimal places. Average sales=
1. Estimate the total sales during the first 6 months of the year and the last 6 months of the year. Round your answers to two decimal places. Total sales first 6 months= Total sales last 6 months= b. What are total sales for the entire year? Round your answer to two decimal places. Total sales= c. Find the average sales per month for the entire year. Round your answer to two decimal places. Average sales=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1. Estimate the total sales during the first 6 months of the year and the last 6 months of the year. Round your answers to two decimal places.
Total sales first 6 months=
Total sales last 6 months=
b. What are total sales for the entire year? Round your answer to two decimal places.
Total sales=
c. Find the average sales per month for the entire year. Round your answer to two decimal places.
Average sales=
![The rate of sales (in sales per month) of a company is given, for \( t \) in months since January 1, by
\[ r(t) = t^4 - 20t^3 + 118t^2 - 180t + 200. \]
✔️ Your answer is correct.
(a) Select the correct graph of the rate of sales per month during the first year (\( t = 0 \) to \( t = 12 \)).
**Graph Explanation:**
- The graph is labeled with "sales/month" on the vertical axis and \( t \) (time in months) on the horizontal axis.
- The curve represents fluctuations in sales rates over 12 months.
- Key points on the graph show a significant dip around month 3 and another local minimum around month 9.
- After month 9, the rate of sales increases sharply, reaching a peak just before month 12.
- Numerical values on the vertical axis range from 0 to 1200, indicating sales/month.
- Dashed vertical lines at months 3, 6, 9, and 12 highlight points of interest on the curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f1362b4-80e9-4fad-af46-6657807adc71%2Fcfdab213-a8ce-4f98-a6e2-43081758f4e2%2Fkcfrid_processed.png&w=3840&q=75)
Transcribed Image Text:The rate of sales (in sales per month) of a company is given, for \( t \) in months since January 1, by
\[ r(t) = t^4 - 20t^3 + 118t^2 - 180t + 200. \]
✔️ Your answer is correct.
(a) Select the correct graph of the rate of sales per month during the first year (\( t = 0 \) to \( t = 12 \)).
**Graph Explanation:**
- The graph is labeled with "sales/month" on the vertical axis and \( t \) (time in months) on the horizontal axis.
- The curve represents fluctuations in sales rates over 12 months.
- Key points on the graph show a significant dip around month 3 and another local minimum around month 9.
- After month 9, the rate of sales increases sharply, reaching a peak just before month 12.
- Numerical values on the vertical axis range from 0 to 1200, indicating sales/month.
- Dashed vertical lines at months 3, 6, 9, and 12 highlight points of interest on the curve.
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