A company is considering the purchase of a piece of equipment to be used to manufac- ture a new product. Four machines are being considered. The following table summa- rizes the purchase cost of each machine and the associated variable cost of production if the machine is used to produce the new product. Determine the ranges of output over which each machine would be the least costly alternative. Sketch the four cost func- tions. Purchase Cost Variable Cost/Unit $ 80,000 120,000 200,000 300,000 Machine 1 $10.00 9.00 Machine 2 Machine 3 Machine 4 7.50 5.50