Chapter 13.8, Problem 29E

BuyFind*arrow_forward*

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

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

Where *n* is the number of equal subdivisions of

**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:

So, the interval

Sect-13.1 P-1CPSect-13.1 P-2CPSect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8E

Sect-13.1 P-9ESect-13.1 P-10ESect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.2 P-1CPSect-13.2 P-2CPSect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 P-33ESect-13.2 P-34ESect-13.2 P-35ESect-13.2 P-36ESect-13.2 P-37ESect-13.2 P-38ESect-13.2 P-39ESect-13.2 P-40ESect-13.2 P-41ESect-13.2 P-42ESect-13.2 P-43ESect-13.2 P-44ESect-13.2 P-45ESect-13.2 P-46ESect-13.2 P-47ESect-13.2 P-48ESect-13.2 P-49ESect-13.2 P-50ESect-13.2 P-51ESect-13.2 P-52ESect-13.2 P-53ESect-13.2 P-54ESect-13.2 P-55ESect-13.2 P-56ESect-13.2 P-57ESect-13.2 P-58ESect-13.2 P-59ESect-13.2 P-60ESect-13.2 P-61ESect-13.2 P-62ESect-13.2 P-63ESect-13.2 P-64ESect-13.2 P-65ESect-13.2 P-66ESect-13.2 P-67ESect-13.2 P-68ESect-13.3 P-1CPSect-13.3 P-2CPSect-13.3 P-3CPSect-13.3 P-1ESect-13.3 P-2ESect-13.3 P-3ESect-13.3 P-4ESect-13.3 P-5ESect-13.3 P-6ESect-13.3 P-7ESect-13.3 P-8ESect-13.3 P-9ESect-13.3 P-10ESect-13.3 P-11ESect-13.3 P-12ESect-13.3 P-13ESect-13.3 P-14ESect-13.3 P-15ESect-13.3 P-16ESect-13.3 P-17ESect-13.3 P-18ESect-13.3 P-19ESect-13.3 P-20ESect-13.3 P-21ESect-13.3 P-22ESect-13.3 P-23ESect-13.3 P-24ESect-13.3 P-25ESect-13.3 P-26ESect-13.3 P-27ESect-13.3 P-28ESect-13.3 P-29ESect-13.3 P-30ESect-13.3 P-31ESect-13.3 P-32ESect-13.3 P-33ESect-13.3 P-34ESect-13.3 P-35ESect-13.3 P-36ESect-13.3 P-37ESect-13.3 P-38ESect-13.3 P-39ESect-13.3 P-40ESect-13.3 P-41ESect-13.3 P-42ESect-13.3 P-43ESect-13.3 P-44ESect-13.3 P-45ESect-13.3 P-46ESect-13.3 P-47ESect-13.3 P-48ESect-13.3 P-49ESect-13.3 P-50ESect-13.4 P-1CPSect-13.4 P-2CPSect-13.4 P-3CPSect-13.4 P-1ESect-13.4 P-2ESect-13.4 P-3ESect-13.4 P-4ESect-13.4 P-5ESect-13.4 P-6ESect-13.4 P-7ESect-13.4 P-8ESect-13.4 P-9ESect-13.4 P-10ESect-13.4 P-11ESect-13.4 P-12ESect-13.4 P-13ESect-13.4 P-14ESect-13.4 P-15ESect-13.4 P-16ESect-13.4 P-17ESect-13.4 P-18ESect-13.4 P-19ESect-13.4 P-20ESect-13.4 P-21ESect-13.4 P-22ESect-13.4 P-23ESect-13.4 P-24ESect-13.4 P-25ESect-13.4 P-26ESect-13.4 P-27ESect-13.4 P-28ESect-13.4 P-29ESect-13.4 P-30ESect-13.4 P-31ESect-13.4 P-32ESect-13.4 P-33ESect-13.4 P-34ESect-13.4 P-35ESect-13.4 P-36ESect-13.5 P-1CPSect-13.5 P-2CPSect-13.5 P-3CPSect-13.5 P-4CPSect-13.5 P-5CPSect-13.5 P-6CPSect-13.5 P-1ESect-13.5 P-2ESect-13.5 P-3ESect-13.5 P-4ESect-13.5 P-5ESect-13.5 P-6ESect-13.5 P-7ESect-13.5 P-8ESect-13.5 P-9ESect-13.5 P-10ESect-13.5 P-11ESect-13.5 P-12ESect-13.5 P-13ESect-13.5 P-14ESect-13.5 P-15ESect-13.5 P-16ESect-13.5 P-17ESect-13.5 P-18ESect-13.5 P-19ESect-13.5 P-20ESect-13.5 P-21ESect-13.5 P-22ESect-13.5 P-23ESect-13.5 P-24ESect-13.5 P-25ESect-13.5 P-26ESect-13.5 P-27ESect-13.5 P-28ESect-13.5 P-29ESect-13.5 P-30ESect-13.5 P-31ESect-13.5 P-32ESect-13.5 P-33ESect-13.5 P-34ESect-13.5 P-35ESect-13.5 P-36ESect-13.5 P-37ESect-13.5 P-38ESect-13.5 P-39ESect-13.5 P-40ESect-13.5 P-41ESect-13.5 P-42ESect-13.6 P-1CPSect-13.6 P-2CPSect-13.6 P-1ESect-13.6 P-2ESect-13.6 P-3ESect-13.6 P-4ESect-13.6 P-5ESect-13.6 P-6ESect-13.6 P-7ESect-13.6 P-8ESect-13.6 P-9ESect-13.6 P-10ESect-13.6 P-11ESect-13.6 P-12ESect-13.6 P-13ESect-13.6 P-14ESect-13.6 P-15ESect-13.6 P-16ESect-13.6 P-17ESect-13.6 P-18ESect-13.6 P-19ESect-13.6 P-20ESect-13.6 P-21ESect-13.6 P-22ESect-13.6 P-23ESect-13.6 P-24ESect-13.6 P-25ESect-13.6 P-26ESect-13.6 P-27ESect-13.6 P-28ESect-13.6 P-29ESect-13.6 P-30ESect-13.6 P-31ESect-13.6 P-32ESect-13.6 P-33ESect-13.6 P-34ESect-13.6 P-35ESect-13.6 P-36ESect-13.6 P-37ESect-13.6 P-38ESect-13.7 P-1CPSect-13.7 P-2CPSect-13.7 P-1ESect-13.7 P-2ESect-13.7 P-3ESect-13.7 P-4ESect-13.7 P-5ESect-13.7 P-6ESect-13.7 P-7ESect-13.7 P-8ESect-13.7 P-9ESect-13.7 P-10ESect-13.7 P-11ESect-13.7 P-12ESect-13.7 P-13ESect-13.7 P-14ESect-13.7 P-15ESect-13.7 P-16ESect-13.7 P-17ESect-13.7 P-18ESect-13.7 P-19ESect-13.7 P-20ESect-13.7 P-21ESect-13.7 P-22ESect-13.7 P-23ESect-13.7 P-24ESect-13.7 P-25ESect-13.7 P-26ESect-13.7 P-27ESect-13.7 P-28ESect-13.7 P-29ESect-13.7 P-30ESect-13.7 P-31ESect-13.7 P-32ESect-13.7 P-33ESect-13.7 P-34ESect-13.7 P-35ESect-13.7 P-36ESect-13.7 P-37ESect-13.7 P-38ESect-13.7 P-39ESect-13.7 P-40ESect-13.7 P-41ESect-13.7 P-42ESect-13.7 P-43ESect-13.7 P-44ESect-13.7 P-45ESect-13.7 P-47ESect-13.8 P-1CPSect-13.8 P-2CPSect-13.8 P-3CPSect-13.8 P-1ESect-13.8 P-2ESect-13.8 P-3ESect-13.8 P-4ESect-13.8 P-5ESect-13.8 P-6ESect-13.8 P-7ESect-13.8 P-8ESect-13.8 P-9ESect-13.8 P-10ESect-13.8 P-11ESect-13.8 P-12ESect-13.8 P-13ESect-13.8 P-14ESect-13.8 P-15ESect-13.8 P-16ESect-13.8 P-17ESect-13.8 P-18ESect-13.8 P-19ESect-13.8 P-20ESect-13.8 P-21ESect-13.8 P-22ESect-13.8 P-23ESect-13.8 P-24ESect-13.8 P-25ESect-13.8 P-26ESect-13.8 P-27ESect-13.8 P-28ESect-13.8 P-29ESect-13.8 P-30ESect-13.8 P-31ESect-13.8 P-32ESect-13.8 P-33ESect-13.8 P-34ECh-13 P-1RECh-13 P-2RECh-13 P-3RECh-13 P-4RECh-13 P-5RECh-13 P-6RECh-13 P-7RECh-13 P-8RECh-13 P-9RECh-13 P-10RECh-13 P-11RECh-13 P-12RECh-13 P-13RECh-13 P-14RECh-13 P-15RECh-13 P-16RECh-13 P-17RECh-13 P-18RECh-13 P-19RECh-13 P-20RECh-13 P-21RECh-13 P-22RECh-13 P-23RECh-13 P-24RECh-13 P-25RECh-13 P-26RECh-13 P-27RECh-13 P-28RECh-13 P-29RECh-13 P-30RECh-13 P-31RECh-13 P-32RECh-13 P-33RECh-13 P-34RECh-13 P-35RECh-13 P-36RECh-13 P-37RECh-13 P-38RECh-13 P-39RECh-13 P-40RECh-13 P-41RECh-13 P-42RECh-13 P-43RECh-13 P-44RECh-13 P-45RECh-13 P-46RECh-13 P-47RECh-13 P-48RECh-13 P-49RECh-13 P-50RECh-13 P-51RECh-13 P-53RECh-13 P-54RECh-13 P-55RECh-13 P-1TCh-13 P-2TCh-13 P-3TCh-13 P-4TCh-13 P-5TCh-13 P-6TCh-13 P-7TCh-13 P-8TCh-13 P-9TCh-13 P-10TCh-13 P-11TCh-13 P-12TCh-13 P-13TCh-13 P-14TCh-13 P-15TCh-13 P-16T

Finite Mathematics

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Intermediate Algebra

Understanding Basic Statistics

Applied Calculus

Essentials Of Statistics

Calculus: Early Transcendentals

Statistics for The Behavioral Sciences (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Calculus: An Applied Approach (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Single Variable Calculus

Calculus (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Multivariable Calculus

Probability and Statistics for Engineering and the Sciences

Elementary Technical Mathematics

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Contemporary Mathematics for Business & Consumers

Elements Of Modern Algebra

Trigonometry (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus of a Single Variable

Single Variable Calculus: Early Transcendentals

Calculus: Early Transcendental Functions (MindTap Course List)

Elementary Geometry for College Students

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

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Multivariable Calculus, 8th

Mathematics For Machine Technology

Mathematics: A Practical Odyssey

Calculus (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

College Algebra (MindTap Course List)

Multivariable Calculus

Statistics for Business & Economics, Revised (MindTap Course List)