$($Prepared from a situation suggested by Professor John W$.$ Hardy.$)$ Lone Star Meat Packers is a major processor of beef and other meat products. The company has a large amount of T$-$bone steak on hand and is deciding whether to sell the T$-$bone steaks as they are initially cut or process them further into filet mignon and the New York cut.

If the T$-$bone steaks are sold as initially cut, the company figures a $1-$pound T$-$bone steak ylelds the following profit:$$7\mathrm{.}95+$quad$3\mathrm{.}80$$$4\mathrm{.}15$

If the company further processes the T$-$bone steaks, then one $16-$ounce T$-$bone steak will yleld one $6-$ounce filet mignon, one $8-$ounce New York cut, and two ounces of waste. It costs $$0\mathrm{.}55$ to further process one T$-$bone steak Into the filet mignon and New York cuts. The filet mignon can be sold for $$12\mathrm{.}00$ per pound, and the New York cut can be sold for $$8\mathrm{.}80$ per pound.

Requlred:

What is the financlal advantage $($disadvantage$)$ of further processing one T$-$bone steak Into filet mignon and New York cut steaks?