(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 it is trying to decide whether to sell the T-bone steaks as they are initially cut or to process them further into filet mignon and the New York cut.
If the T-bone steaks are sold as initially cut, the company figures that a 1-pound T-bone steak would yield the following profit:
Selling price ($2.00 per pound) | $ | 2.00 |
Less joint costs incurred up to the split-off point where T-bone steak can be identified as a separate product |
1.65 | |
Profit per pound | $ | 0.35 |
If the company were to further process the T-bone steaks, then cutting one side of a T-bone steak provides the filet mignon and cutting the other side provides the New York cut. One 16-ounce T-bone steak cut in this way will yield one 6-ounce filet mignon and one 8-ounce New York cut; the remaining ounces are waste. It costs $0.14 to further process one T-bone steak into the filet mignon and New York cuts. The filet mignon can be sold for $4.40 per pound, and the New York cut can be sold for $3.60 per pound.
Required:
1. 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 that the T-bone steaks be sold as initially cut or processed further?
1)1 pound = 16 ounces
1 pound T-bone will result in 6 ounce Filet mignon and 8 ounce New York cut
1 pound Filet Mignon will require 2.67 pound T-bone (16/6)
1 pound New York cut will require 1.6 pound T-bone
Rest will be wastage
So total profit of selling 2.67 ounce of T-bone will be 2.67*.35 = .9345
Equivalent quantity of filet mignon and New York cut will generate profit of (4.40+3.60) - (2.67*.14) - (2.67*1.65) =3.2207
2)It is profitable to sell after further processing.
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