mathematical problems in economics

SEE ATTACHED FILE

Economics problems 2, 3 and 4 need help with

i cannot seem to answer questions 2, 3 or 4. Please help.

Find mathematical economic solutions for perfect competition, two firm monopoly, price discriminating monopoly, natural monopoly with constraint.

1) consider a consumer with the following utility function U=f(x,y)=4xy a) derive demand functions for both commodities. b) Px=2, Py=2.5, I=40, find the utility maximizing consumption combination. 2) A firm produces two commodities, Q1 and Q2, in pure competition. P1=15 and P2=18. C=2Q1^2 + 2Q1Q2 + 3Q2^2 a) form the profit function. b) Determine the profit maximizing levels of output for both commodities. c) Evaluate the Hessian for the second order condition. 3) A discriminating monopolist sells in two markets where the demand respectively is Q1 = 24 - .2P1 Q2 = 10 - .05P2 TC = 35 + 40(Q1 + Q2) a) Determine the Q sold and the P charged in each market. b) find the price el... click for more

Mathematical economics

Economic problems with mathematics.