1. A firm is a perfectly competitive producer and sells two goods G1 and G2 at $70 and $50 respectively, each. The total cost of producing these goods is given by TC=0+0,0,+0; where Q1 and Q2 denote the output levels of G1 and G2 respectively. Find the profit function, and the levels of Q1 and Q2 which will maximise profit. What is the maximum profit which the firm can make? Verify that this is a maximum using second order conditions