D8=1

Question 2 (Total 14 marks] ABC company manufactures and sells overhead transmission line for transmitting electrical power. This company finds that the relationship between price (P) and quantity demanded is P = $(58+ 3,000,000/D - 5,000,000/D?) for D > 1, where P is the price per meter in dollars and D is the quantity demanded per month. The company is seeking to maximize its profit. The fixed cost is $(2,000,000 - D8 ~ 100,000 per month and the variable cost is $(60 + D8) per meter. (a) How many meters of this overhead transmission line should be produced and sold each month in order to maximize profit? Round up your final answer to the nearest meter. (6 marks) (b) What is the range of profitable demand during a month? Use appropriate rounding to round the final answer to the nearest meter. (8 marks)