Problem 3: Can't Get Enough Alan Wilder can spend up to $10 on either Depeche Mode CDs or Erasure posters. Each CD costs $4 and each poster costs $2. Alan uses a utility function to measure how happy he is as a function of the number of CDs and posters he has. If he has a, CDs and 12 posters, his utility is given by: u(T1, 12) = 0.2 log(x1 ) + 0.8 log(12), where log(-) is the natural logarithm. Alan wants to determine how many CDs and posters to buy to maximize this utility