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Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the best-selling 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) = 0.0008n²-74n+ 2,000,000 dollars, 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? and a run of 30,000 would cost $ dollars. A run of size 20,000 would cost $ $30,000 per month would result in a savings of . Thus, increasing the run size from $20,000 to (b) Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost considerably less than going from 20,000 to 30,000. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by much more than going from 20,000 to 30,000. O The cost decreases at a constant rate and the savings is the same for every 10,000 book increase in the print run. (c) What run size would you recommend that Marjory Duffin use for a minimum cost? books

Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the best-selling 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) = 0.0008n²-74n+ 2,000,000 dollars, 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? and a run of 30,000 would cost $ dollars. A run of size 20,000 would cost $ $30,000 per month would result in a savings of . Thus, increasing the run size from $20,000 to (b) Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost considerably less than going from 20,000 to 30,000. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by much more than going from 20,000 to 30,000. O The cost decreases at a constant rate and the savings is the same for every 10,000 book increase in the print run. (c) What run size would you recommend that Marjory Duffin use for a minimum cost? books

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 6P
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Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the best-selling 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) = 0.0008n² - 74n+ 2,000,000 dollars, 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? A run of size 20,000 would cost $ and a run of 30,000 would cost $ dollars. $30,000 per month would result in a savings of Thus, increasing the run size from $20,000 to (b) Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost considerably less than going from 20,000 to 30,000. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by much more than going from 20,000 to 30,000. O The cost decreases at a constant rate and the savings is the same for every 10,000 book increase in the print run. (c) What run size would you recommend that Marjory Duffin use for a minimum cost? books
Transcribed Image Text:Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the best-selling 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) = 0.0008n² - 74n+ 2,000,000 dollars, 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? A run of size 20,000 would cost $ and a run of 30,000 would cost $ dollars. $30,000 per month would result in a savings of Thus, increasing the run size from $20,000 to (b) Would increasing the run size in further steps of 10,000 result in the same changes in the total cost? Explain. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. O The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by about the same a going from 20,000 to 30,000. The cost decreases at a slower and slower rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost considerably less than going from 20,000 to 30,000. O The cost decreases at a faster and faster rate and then begins to increase. Going from 30,000 to 40,000 decreases the cost by much more than going from 20,000 to 30,000. O The cost decreases at a constant rate and the savings is the same for every 10,000 book increase in the print run. (c) What run size would you recommend that Marjory Duffin use for a minimum cost? books
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