Question

A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. it costs the company $0.50 to store a book for 1 year. each time it must print additional books, it costs $200 to set up the equipment.

note: we assume that the demand is uniform.
let
- x = number of books printed during each printing run
- y = number of printing runs

Since x is the number of books printed in each printing run, x must satisfy 1≤x≤ ____ In other words, x is in the closed interval [a,b], where a=1 and b=_____

Answer 1

The number of books printed in each printing run must satisfy 1 ≤ x ≤ 20000.

Step-by-step explanation:

To find the closed interval for the number of books printed in each printing run, we use the given information that 20,000 copies of the book are expected to be sold in the next year. Let's assume the number of printing runs is y and the number of books printed in each printing run is x.

To determine the range for x, we divide the total number of copies (20,000) by the number of printing runs (y):

x = 20000/y

Since x must be greater than or equal to 1, we have:

1 ≤ x

And since x must also be less than or equal to 20000, we have:

x ≤ 20000

Therefore, the closed interval for x is [1, 20000].