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.

Given rate of sales per month in a year is given byr(t)=t4-20t3+118t2-180t+200We need to finda.…

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.

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