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CalculusApplied CalculusProduction Costs Over at Duffin House , Marjory Duffin is trying to decide on the size of the print runs for the bestselling new fantasy novel Larry Plotter and the Simplex Method . The following model shows a calculation of the total cost to produce a million copies of the novel, based on an analysis of setup and storage costs: c ( n ) = 0.0008 n 2 − 72 n + 2 , 000 , 000 where n is the print run size (the number of books printed in each run). a. What would be the effect on cost if the run size was increased from 20,000 to 30,000? b. Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain. c. What approximate run size would you recommend that Marjory Duffin use for a minimum cost?BuyFind*arrow_forward*

7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 1, Problem 34RE

Textbook Problem

**Production Costs** Over at *Duffin House*, Marjory Duffin is trying to decide on the size of the print runs for the bestselling new fantasy novel *Larry Plotter and the Simplex Method*. The following model shows a calculation of the total cost to produce a million copies of the novel, based on an analysis of setup and storage costs:

*n* is the print run size (the number of books printed in each run).

**a.** What would be the effect on cost if the run size was increased from 20,000 to 30,000?

**b.** Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain.

**c.** What approximate run size would you recommend that Marjory Duffin use for a minimum cost?

Expert Solution

**(a)**

To determine

**To calculate:** The effect on the cost of printing when the number of pages is increased from *n* pages

**Given Information:**

The cost of printing *n* pages

**Calculation:**

Consider the model that represents the cost of printing *n* pages,

Consider the present number of pages,

Also consider the increased number of pages

First compute the cost of printing

Therefore, the cost of printing

Now, compute the cost of printing

Expert Solution

**(b)**

To determine

Weather the savings will grow with the same rate which is computed in part (a) if the number of pages is increased by *n* pages

Expert Solution

**(c)**

To determine

**To calculate:** The number of pages printed in minimum cost, if the cost of printing *n* pages

Applied Calculus

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a. The students at Littlewood Regional High School cut an average of 3.3 classes per month. A random sample of ...

Essentials Of Statistics

21-47 Differentiate. y=cosh1(sinhx)

Calculus (MindTap Course List)

23. For the following set of scores, find the value of each expression: X 1 6 2 3 X2 (X)2 (X3) (X3)2

Statistics for The Behavioral Sciences (MindTap Course List)

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Single Variable Calculus

In Exercises 69-74, rationalize the numerator. 71. 2yx

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

Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2...

Probability and Statistics for Engineering and the Sciences

Expand Your Knowledge: Linear Functions and Combinations of Independent Random Variables: Insurance Risk Insura...

Understanding Basic Statistics

Purchases OHaganBooks.com has been promoting a number of books published by Duffin House. The following table s...

Finite Mathematics

Find the amount of interest and the maturity value of the following loans. Use the formula MV = P + I to find t...

Contemporary Mathematics for Business & Consumers

In Exercises 1 to 6, use the roster method to represent each set. The set of integers that satisfy x2 = 64

Mathematical Excursions (MindTap Course List)

For Problems 1-10, answer true or false. The algebraic expression for the English phrase 2 less than y can be w...

Intermediate Algebra

Given that point Q does not lie on AB, construct the line through point Q that is parallel to AB.

Elementary Geometry For College Students, 7e

For any number a,a0=?

Elementary Technical Mathematics

In problems 31-42, let.
And be the universal set of natural numbers less than 11.Find the following.
39.
...

Mathematical Applications for the Management, Life, and Social Sciences

Finding Limits Use a graphing utility to estimate each limit. Then calculate each limit using LHpitals Rule. Wh...

Calculus of a Single Variable

Evaluate the integral. 01(u+2)(u3)du

Single Variable Calculus: Early Transcendentals

Finding a Directional Derivative In Exercises 14, use Theorem 13.9 to find the directional derivative of the fu...

Calculus: Early Transcendental Functions (MindTap Course List)

Geometry and Area Find the area of a parallelogram if the two sides measure 24.1 inches and 31.4 inches and the...

Trigonometry (MindTap Course List)

True or False Label each of the following statements as either true or false. 5. The set of all integers is wel...

Elements Of Modern Algebra

The gradient vector field for is:

Study Guide for Stewart's Multivariable Calculus, 8th

By definition the improper integral
It is not an improper integral.

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

In the figure for Exercises 21 to 24,RS is tangent to the circle at S. See Theorem 6.3.7. Given: RS=8andRV=12 F...

Elementary Geometry for College Students

USE OF LANDLINE PHONE VERSUS CELL PHONE A survey of 1000 adults aged 18 years and older conducted in July 2012 ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Boyles Law A quantity of gas with an initial volume of 1 cubic foot and a pressure of 500 pounds per square foo...

Calculus (MindTap Course List)

Comparing PlanesIn Exercises 6974, determine whether the planes are parallel, orthogonal, or neither. If they a...

Multivariable Calculus

Two individuals, A and B, are finalists for a chess championship. They will play a sequence of games, each of w...

Introduction To Statistics And Data Analysis

Consider the following time series data. Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 a. Construct a time series pl...

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

Explain the circumstances in which an ABAB reversal design should be modified to create a more complex phase-ch...

Research Methods for the Behavioral Sciences (MindTap Course List)

A workpiece or tool with a diameter of 0.750" turns at 350 revolutions per minute. Use C=3.1416DN12 or DN12 to ...

Mathematics For Machine Technology

To lest for any significant difference in the number of hours between breakdowns for four machines, the followi...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe how time-related factors such as history, maturation, instrumentation, statistical regression, and ord...

Research Methods for the Behavioral Sciences (MindTap Course List)

Use the Change-of-Base Formula to find each logarithm. Do not attempt to simplify the answer. log73

College Algebra (MindTap Course List)

Constant TermLet f(x)=cx1.32 and suppose that f(5)=11. Find the value of c.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Let X={a,b,c} . Recall that P(X) is the power set X. Define a relation S P(X) as follows: For all sets A and B ...

Discrete Mathematics With Applications

The National Football League (NFL) records a variety of performance data for individuals and teams. To investig...

Essentials Of Statistics For Business & Economics

Use the following information in Exercises 13-22. You are programming a robotic drill holes in a circuit board....

Mathematics: A Practical Odyssey

1. Discuss the differences between statistics as numerical facts and statistics as a discipline or field of stu...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Galloping Gertie Bridges are good examples of vibrating mechanical systems that are constantly subjected to ext...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

True or False? In Exercises 107 and 108, decide whether the statement is true or false. Justify your answer. If...

College Algebra

In the following exercises, assume that limx6f(x)=4,limx6g(x)=9,andlimx6h(x)=6 . Use these three facts and the ...

Calculus Volume 1