mathematics for business and economics

7. A firm has the possibility of charging different prices in its domestic and foreign mark The corresponding equations are given by P1 = 50 - Q1 P2 = 95 - 302 If the total cost function Is TC = Q", +30,02+032 (a) Show that the profit function Is: IT = 5001 - 20', + 9502 - 40', -30102 (5) (b) Solve the following equation simultaneously: -= 0 and =0 (B) (c) Use the values of Q, and Q, from (b) to evaluate: _2 aoz aoz (4) (d) Find the maximum profit. (2)