Discuss the below:
Q: The public library budgeted for fiction, nonfiction, and reference books as follows: Purchase 500 books each month at a total cost of $19,500 Purchase 50 more fiction than reference books The average cost of fiction books is $30, of non- fiction 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