Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 1, Problem 48AP

a

Summary Introduction

Interpretation:Graphical representation of the cost function, its shape and economic phenomenon for such shape is to be determined.

Concept Introduction:

Break-even point is a point when total cost is equal to total revenue. This is no profit or no loss situation.

Marginal cost is the addition to total cost when one more unit of good is produced.

b

Summary Introduction

Interpretation:The level of production when cumulative cost is equal to $1,000,000 is to be determined.

Concept Introduction:Cumulative cost is the addition to cost for every unit produced. It increases with increase in production.

c

Summary Introduction

Interpretation:Cumulative volume of production where it makes sense to invest in the facility is to be determined.

Introduction:

Cumulative production is an addition to production when more units of output are produced.

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48. Consider the following break-even problem: the cost of producing Q units, c(Q), is described by the curve c(Q) = 48Q[1 – exp(-.08Q)], where Q is in hundreds of units of items produced and c(Q) is in thousands of dollars. a. Graph the function c(Q). What is its shape? What economic phenomenon gives rise to a cumulative cost curve of this shape? b. At what production level does the cumulative production cost equal $1,000,000? c. Suppose that these units can be purchased from an outside supplier at a cost of $800 each, but the firm must invest $850,000 to build a facility that would be able to produce these units at a cost c(Q). At what cumulative volume of production does it make sense to invest in the facility?
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