Betty Gilmore plans to sell berry pies at a local farmer's market. The permit and space rental will cost her $1,200 for the June through August season. Each pie will sell for an exact amount of $10.00. Ingredients and overhead average $3.50 per pie. She has to pay 7% of her gross sales to the markets's organizers. She also has to pay 6% sales tax to the city. How many pies will she need to sell to cover her fixed costs and realize a $10,000 profit? (input the number only and round up to the nearest pie)