Because the library cannot buy a negative number of books


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Problem is...

The public library budgeted for fiction, nonfiction, and reference books as follows:

Purchase 500 books each month at a total cost of $19,500.

They purchased 50 more fiction than reference books. The average cost of fiction books is $30, of nonfiction is $40, and of reference is $50.

(a) Find the number of books the library should buy in each category.

(b) Because the library cannot buy a negative number of books, use the solution to find the maximum and minimum number in each category

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