Recalling that the setup cost for the single print run is $5,000, the cost of producing 1,200,000 books at $1 each is $1,200,00, the total cost for the year would be given by, C = (Setup Costs) + (Production Costs) + (Storage Costs) = $5000 + $1,200,000 + $72,000 = $1,277,000  1. You have an idea. To cut down on storage costs you will print the book in two print runs of 600,000 each, as shown in the figure below.   A) What are the setup costs for two print runs? B) What are the production costs? C) What are the storage costs? D) What is the total cost for the year?     2. It appears to you that increasing the number of print runs reduces total costs for the year. Motivated by this idea, you decide to divide the 1,200,000 books into a twelve-monthly production runs of 100,000 books each. A) Create a graph similar to the one in Problem #1 of this exam. Use graph paper and include the graph for your work in this part (You can glue the graph to your exam paper if necessary). Label both axes as in the graph above (you will have to modify the y-axis values for this part but should use the same x-scale). B) What are the setup costs for twelve (monthly) print runs? C) What are the production costs? D) What are the storage costs? E) Fill in the amounts from your work above and compute the total costs for the year: C = (Setup Costs) + (Production Costs) + (Storage Costs)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 12ECP
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Recalling that the setup cost for the single print run is $5,000, the cost of
producing 1,200,000 books at $1 each is $1,200,00, the total cost for the year
would be given by,

C = (Setup Costs) + (Production Costs) + (Storage Costs)
= $5000 + $1,200,000 + $72,000
= $1,277,000 

1. You have an idea. To cut down on storage costs you will print the book in two
print runs of 600,000 each, as shown in the figure below.  

A) What are the setup costs for two print runs?


B) What are the production costs?


C) What are the storage costs?


D) What is the total cost for the year?  

 

2. It appears to you that increasing the number of print runs reduces total costs
for the year. Motivated by this idea, you decide to divide the 1,200,000 books into
a twelve-monthly production runs of 100,000 books each.

A) Create a graph similar to the one in Problem #1 of this exam. Use graph paper
and include the graph for your work in this part (You can glue the graph to your
exam paper if necessary). Label both axes as in the graph above (you will have
to modify the y-axis values for this part but should use the same x-scale).


B) What are the setup costs for twelve (monthly) print runs?



C) What are the production costs?



D) What are the storage costs?


E) Fill in the amounts from your work above and compute the total costs for the
year:

C = (Setup Costs) + (Production Costs) + (Storage Costs) 

Books in stock
600,000
500,000
Average
number
400,000
in stock
300,000
200,000
100,000
0
0 1 2 3 4 5 6 7 8 9 10 11 12
Month
Transcribed Image Text:Books in stock 600,000 500,000 Average number 400,000 in stock 300,000 200,000 100,000 0 0 1 2 3 4 5 6 7 8 9 10 11 12 Month
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