3. Firm is producing three goods chair (C), table (t) and sofa (S) with processed woods. Demand Function for chair C=200-6Pc+2Pt-2Ps, demand function for table T=360+2Pc-8Pt+4Ps and demand function for sofa S=400+4Pc+2Pt-10PS where total cost TC=2C2 + 4T2 + 252 + 2CT + 2T'S + 2CS Optimize the profit function using Hessian. Where C, T, and S represents quantity of chair, table and sofa and Pc, Pt, Ps represents the respective price of them.