Example A consumer’s utility function is given by Where q1 and q2 are the quantities of the two commodities consumed. If the price q1 is 6 and that of q2 is 3 and the budget is 60. a. Write out a constrained utility maximization problem out of the information given. b. What is the corresponding augmented (composite) objective function? c. Find the levels of q1 and q2 that will satisfy the first order condition for maximum. d. Is the second-order condition satisfied? e. Compute the optimum value of U.