Samsung Electronics manufactures smartphone microprocessors whose cost function is given byC=9X+12. where X is the number of microprocessor chips. The selling price per unit isP=33-6X and maximum output of the plant is 33,000 units per month. а.Determine the optimal demand for the microprocessor chips. b. What is the maximum profit per month? At what volume(s) of production does breakeven exist? d. What is the company's range of profitable demand?