A bookshop, Bookworm, buys 2,500 copies of the book, Deep Heat, per year. It costs the bookshop £0.80 per annum to carry the book in stock and £20 to prepare a new order.

Required:

(i) The total costs if orders are 1, 2, 5, 10 and 20 times'per year.

(ii) The economic order quantity. An algebraic solution only is required.