   Chapter 8.5, Problem 63E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Sales In Example 8 in Section 8.4, the sales of a seasonal product can be modeled by F = 1000 , 000 [ 1 + sin 2 π ( t − 60 ) 365 ] , t ≥ 0 Where F is the amount sold (in pounds) and t is the time (in days), with t = 1 corresponding to January 1. The manufacturer of this product wants to set up a manufacturing schedule to produce a uniform amount each day. What should this amount be? (Assume that there are 200 production days during the year.)

To determine

To calculate: The amount of product sold per day, when there are 200 production days during the year and sale for seasonal product is given as F=100000[1+sin2π(t60)365] for t0.

Explanation

Given Information:

The sale for seasonal product is given as F=100000[1+sin2π(t60)365] for t0 and there are 200 production days during the year.

Formula used:

The amount of product sold per day during a year can be calculated as,

The amount of product sold per day=Total sale of product during the yearsNumber of production days

Write the formula for definite integral of absinnudu.

absinnudu=[cosnun]ab

Write the formula for integral of abdu.

abdu=[u]ab

Calculation:

The amount of product sold during the year can be calculated by integrating provided function of sale for seasonal product from integration limit 1 to 365, which can be mathematically written as,

F=1356100000[1+sin2π(t60)365]dt

Rewrite.

F=1000001356[1+sin2π(t60)365]dt

Use the above integral formulae to find integral of above expression

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the derivative of the function. F(t) = (3t 1)4(2t + 1)3

Single Variable Calculus: Early Transcendentals, Volume I

#### In Problems 19-44, factor completely. 39.

Mathematical Applications for the Management, Life, and Social Sciences

#### Convert the following percents to decimals. 9.

Contemporary Mathematics for Business & Consumers

#### is the binomial series for:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 