$($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 yields the following profit:If the company further processes the T$-$bone steaks, then one $16-$ounce T$-$bone steak will yield one $6-$ounce filet mignon, one $8-$ounce New York cut, and two ounces of waste. It costs $$0\mathrm{.}15$ to further process one T$-$bone steak into the filet mignon and New York cuts. The filet mignon can be sold for $$14\mathrm{.}00$ per pound, and the New York cut can be sold for $$9\mathrm{.}30$ per pound.

Required:

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

$2$ Would you recommend the T$-$bone steaks be sold as initially cut or processed further?

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