   Chapter 13.8, Problem 29E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 23-30, round all calculations to 2 decimal places.Supply and demand Use the supply and demand schedules in Problems 27 and 28, with p in dollars and x as the number of units. Supply Schedule Demand Schedule x p x p 0 120 0 2400 10 260 10 1500 20 380 20 1200 30 450 30 950 40 540 40 800 50 630 50 730 60 680 60 680 70 720 70 640 Production Suppose that the rate of production of a product (in units per week) is measured at the end of each of the first 5 weeks after start-up and the data in the table are obtained. Weeks t Rate R(t) Weeks t Rate R(t) 0 250.0 3 243.3 1 247.6 4 241.3 2 245.4 5 239.5 Approximate the total number of units produced in the first 5 weeks.

To determine

To calculate: The total number of units produced in the first 5 weeks if the rate of production of a product (in units per week) is measured at the end of each of the first 5 weeks after start-up and the data in the table is obtained:

 Weeks t Rate R(t) Weeks t Rate R(t) 0 250.0 3 243.3 1 247.6 4 241.3 2 245.4 5 239.5
Explanation

Given Information:

The rate of production of a product (in units per week) is measured at the end of each of the first 5 weeks after start-up and the data in the table are obtained:

 Weeks t Rate R(t) Weeks t Rate R(t) 0 250.0 3 243.3 1 247.6 4 241.3 2 245.4 5 239.5

Formula Used:

As per the Trapezoidal Rule:

If f is continuous on [a,b], then,

abf(x)dxh2[f(x0)+2f(x1)+2f(x2)+2f(x3)++2f(xn2)+2f(xn1)+f(xn)]

Where h=ban and n is the number of equal subdivisions of [a,b].

Calculation:

The rate of production of a product (in units per week) is measured at the end of each of the first 5 weeks after start-up and the data in the table are obtained:

 Weeks t Rate R(t) Weeks t Rate R(t) 0 250.0 3 243.3 1 247.6 4 241.3 2 245.4 5 239.5

In order to apply the rule, the value of h is as follows:

h=1

So, the interval [0,5] is divided into 5 subintervals as follows,

### 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

#### Simplify the expressions in Exercises 97106. x1/2y2x1/2y

Finite Mathematics and Applied Calculus (MindTap Course List)

#### . ∞ −∞ 1 −1

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

#### What is a matrix?

College Algebra (MindTap Course List) 