A consumer allocates their income M $=24$ between two goods, Good $1$ and Good $2,$ with prices p$1=3$ and p$2=2,$ respectively. The consumer$$s preferences are represented by the utility function: U$($x$1,$ x$2)=$ x$1$ x$2.$ Tasks $1.$ Set up the budget constraint. $2.$ Use the substitution method to find the optimal bundle of quantities x $1$ and x $2.3.$ Calculate the maximum utility the consumer achieves with that optimal bundle.