Economics Homework Solutions
Problem
#3925

Internal economies of scale and the six-tenths rule

The six-tenths rule quantifies the relationship between the relevant costs of a firm's decision to expand and the increased internal economies that result from that expansion.



1.  A small printing firm has technological costs of £48000 per annum, which give it a processing capability of 200 documents per week. The total monthly revenue the firm currently receives from the sale of these high value documents is £16000. The firm's owner draws an annual salary of £42000, and those of the four workers involved directly in the processing of documents amounts to a further £72000 per annum. Additionally a part-time administrator is employed at an annual cost of £12000. It is assumed that the firm works a five-day week and closes down over a period of four weeks during the year.

From the data above, estimate the:

i)  average unit cost of each document          
ii) profit made on each processed document    

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Background information.doc
Background information:

The most well known kind of technical (internal) economy of scale arises
because the capacity of a small set of technical units frequently rises
in greater proportion than their cost as the set of technical units
becomes larger. This technological relationship is of prime importance
and is known as the six-tenths rule.

The “six-tenths rule” stated mathematically is:

C2 = C1 [Y2/Y1]0.6

Where:

C1 is the total cost of a small set of technical units

C2 is the total cost of a larger set of technical units

Y1 is the capacity of a small set of technical units

Y2 is the capacity of a large set of technical units

In the six-tenths rule a technical unit is the unit cost of say:

A software package

A personal computer

A microprocessor

An oil tanker

An EPOS
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