A company's quarterly profit , in thousands of dollars, can be modeled by the equation , where is the number of months since the start of the year. Which of the following statements best describes the company's maximum profit and when it occurs?
The company reaches a maximum profit of $12,000 after 250 months.
The company reaches a maximum profit of $250,000 after 12 months.
The company reaches a maximum profit of $500 after 12 months.
The company reaches a maximum profit of $250,000 after 0.5 months.