A printing press can produce 1,000 books per day. Each day, the number of books produced decreases by half of the previous day's production, minus half a book. At the end of 1 week (7 days), how many books will the printing press have produced?

Answer 1

On the first day, the printing press produces 1000 books.
On the second day, it produces (1000/2 - 0.5) = <<1000/2-0.5=499.5>>499.5 books.
On the third day, it produces (499.5/2 - 0.5) = <<499.5/2-0.5=249.25>>249.25 books.
On the fourth day, it produces (249.25/2 - 0.5) = <<249.25/2-0.5=124.625>>124.625 books.
On the fifth day, it produces (124.625/2 - 0.5) = <<124.625/2-0.5=62.3125>>62.3125 books.
On the sixth day, it produces (62.3125/2 - 0.5) = <<62.3125/2-0.5=30.15625>>30.15625 books.
On the seventh day, it produces (30.15625/2 - 0.5) = <<30.15625/2-0.5=14.078125>>14.078125 books.
In total, the printing press will have produced 1000 + 499.5 + 249.25 + 124.625 + 62.3125 + 30.15625 + 14.078125 = <<1000+499.5+249.25+124.625+62.3125+30.15625+14.078125=1989.921875>>1989.921875 books. Answer: \boxed{1989}.