Question

A printing company’s costs for printing a book are $500 for labor and running the necessary machinery plus $3 per book printed. The total cost for printing a particular book must be less than $1,300.

a. (MGSE9-12.A.CED.1) Write an inequality to represent this situation. Let n represent the number of books printed.

b. (MGSE9-12.A.REI.3) Solve your inequality for n. What is the greatest number of books that can be printed? Show your work.

Answer 1

`C<1300`

`500+3n<1300`

`3n<800`

`n<266.6`
Max books = 266 for a total cost of $1298

Answer 2

A. 500 + n 3 < 1300

B. 266

Explanation:

500 dollars por labor and running and 3 more dolars every book the make should be less than 1300$

500 + n 3 < 1300

n 3 < 1300 - 500

n < 800 / 3

n < 266,667

As books are units and should be natural numbers, then the gratest number of books is 266.