T$-$shirts$-$R$-$us $($TRS$)$ is planning production for its five t$-$shirt styles that are popular in Spring. All five styles have demand that is normally distributed. The best$-$selling style has an expected demand of $38,000$ and a standard deviation of $6,500.$ Each of the other four styles has an expected demand of $9,000$ with a standard deviation of $3,000.$ Currently, all t$-$shirts are produced before the start of the season. Production cost is $$25$ per t$-$shirt, and they are sold for a wholesale price of $$39.$ Any unsold t$-$shirts at the end of the season are discounted to $$12,$ and they all sell at that price. It costs $$3$ to hold the t$-$shirt in inventory for the entire season if it does not sell. $1.$ How many t$-$shirts of each type should TRS manufacture?