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The average cost for printing x copies of a self published paperback book with company A is c(x)=120+4x/x The average cost for printing x copies of a self published paperback book with company B is D(x) = 25+10x/2x. Which company would you recommend to an author who wants to print 100 books

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Final answer:

Upon calculating the average costs for printing 100 books, company A offers a price of $124 while company B offers a significantly lower price of $30. It is therefore recommended to print with company B for a more economical option.

Step-by-step explanation:

To compare the costs of printing 100 books with company A and company B, we need to plug in the value of x=100 into each company's cost function and then calculate the average cost per book.

For company A, the cost function is given as c(x) = 120 + (4x) / x. Plugging in x=100, we get:

c(100) = 120 + (4×100) / 100

c(100) = 120 + 400 / 100

c(100) = 120 + 4

c(100) = 124

Therefore, the average cost for printing 100 books with company A is $124.

For company B, the cost function is given as D(x) = 25 + (10x) / (2x). Plugging in x=100, we get:

D(100) = 25 + (10×100) / (2×100)

D(100) = 25 + 1000 / 200

D(100) = 25 + 5

D(100) = 30

Therefore, the average cost for printing 100 books with company B is $30.

Based on the calculations, it is more economical to print 100 books with company B, as the average cost is significantly lower.

User Byoungb
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