Question

To produce a textbook, suppose the publisher spent $110,000 for typesetting and $7.50 per book for printingand binding. The total cost to produce and print n books can be written asC = 110,000+ 7.51a. Suppose the number of books printed in the first printing is 10,000. What is the total cost?The total cost is $b. If the average cost is the total cost divided by the number of books printed, find the average cost of producing10,000 textbooks.The average cost of producing 10,000 textbooks is $c. Find the cost to produce one more textbook when you have already produced 10,000 textbooks.If you have already produced 10,000 textbooks, it'll cost you $ to produce one more.

Answer 1

The given equation is

`C=110000+7.5n`

a)

The number of books=10000

Substitute n=10000 in the given equation, we get

`C=110000+7.5*10000`
`C=185000`

The total cost is $185,000.

b)

`\text{Average cost =}(185000)/(10000)=18.5`

The average cost of producing 10,000 textbooks is $18.5.

c)

If we need to produce one more after producing 10000 books.

substitute n=10001 in the given equation, we get

`C=110000+7.5(10001)=185007.5`

`\text{One book cost after printed 10000 book=cost of 10000 books-cost of 10001 books}`

`\text{One book cost after printed 10000 book=1}85000-185007.5=7.5`

If you have already produced 10,000 textbooks, it'll cost you $7.5 to produce one more.