A new dot.com business began with an initial stock offering of $3,000. At the end of the first year, the management conducted a complete top to bottom audit of the company's profits. The audit revealed that the company profit follows the graph of the function P (t) = t³ - ² +t+ 3,in thousands of dollars where t is months. During what month did the profit change at the same rate as the average rate of change of the profit during the first six months?Note: Convert the month to its corresponding number when answering(e.g., 1 for January, 2 for February, and so on). Round your answer up to thenearest whole number.