I need help answering question 2 of my homework

2. Consider a firm that sells two products ("product a" and "product b") with interdependent demands. The profit of the firm is generally given by the function T = 9apa + 9bPb -Cada - Cop + F. Inverse demand for "product a" and "product b" are respectively given by Pa = 50 + +9 -49. and p, = 30+ 29. - qb- Further, C = 8 and Co = 12. As a result, when the firm maximizes profit by choosing quantities of output, they obtain the two first order conditions: 50 + 49 -29. -8 =0 and 30 + *q. - 2q, -12 =0. Which of the following levels of output maximize profit? A. qa = 8 and 9b = 12 . B. qa = 21 and 9b = 9. C. qa = 40 and 9b = 24. D. qa = 50 and 95 = 30