Question 1070114
x = number of books.


cost = 50,560 + 8.50 * x


revenue = 24.5 * x


break even is when revenue equals cost.


revenue equals cost equation becomes:


24.5 * x = 50,560 + 8.50 * x


subtract 8.50 * x from both sides of the equation to get:


24.5 * x - 8.5 * x = 50,560


combine like terms to get:


16 * x = = 50,560


divide both sides of the equation by 16 to get:


x = 50,560 / 16 = 3160.


replace x in the original cost and revenue equations to get:


cost = 50,560 + 8.50 * x becomes cost = 50,560 + 8.50 * 3160 which gets you cost = 77,420.


revenue = 24.5 * x becomes revenue = 24.5 * 3160 which gets you revenue = 77,420.


solution looks good.


he will have to sell 3160 books to break even.