A company manufactures and sells handbags. It costs $20.00 to produce one handbag. The company's monthly operation cost is approximately $150,000.00. The average cost, in dollars, of one handbag can be modeled by this function: C(x) = (20x+ 150000)/x where x is the number of handbags manufactured. Use graphing technology to solve the following problems. Round your answers to whole numbers if needed. 1) If the company manufactured 3500 handbags in a certain month, what was the average cost of one handbag in that month?
2) If the average cost of one handbag was $170.00 in a certain month, how many handbags did the company manufacture in that month?
3) What value is the average cost approaching as the company manufactures more and more handbags each month?