Please help with the mathematical economics problems

3. Use the Hessian in answering each of the following questions (a to c): (a) Does the rm maximise production (0) where two inputs (F and P) are combined in the production function below? [8] Q = 8F 20? + 20F2 + 8P2 + 16FP + 4000 (b) Study a rm's functions provided below and use only the necessary information to determine if the rm maximises prot? [12] ME = 3.2Q2 300 + 120 MR = 560 40Q TR = 24Q1 + 2402 TC = 4303' + 24.9102 + 480; (c) Does a farm with the following cost function maximise profits? TC = 50(01 + 02) + 0. 5(01 + 02? [101