1 1 Given the utility function U = x12 + x3 and market prices for x1 and x2 are P1 and P2 respectively. If the consumer's income is m a. Solving the constrained optimization problem will lead to the demand function of x1 and x2, derive these demand functions b. Can one conclude that the demand functions derived in (a) will be consistent with the behaviour of a utility maximizing consumer? (Yes or No)