Suppose you are tryping to decide for a price for a product. Through a survey you have find out that at a price of $2, you can sell 2100 mugs, but at a price of $12 you can sell only 100 mugs. Futhermore, your supplier can supply you 3500 mugs if you charge your customers $12, but only 500 if you charge $2. What price should you charge that supply equals demand and how many mugs would you sell?