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Exhibit 4-3
A meat market manager for a large grocery store is preparing a processing plan to stock the shelves with sausage, ground meat, and jerky, which he can prepare from beef, pork and venison. Sausage and ground meat can be made of any mix of the beef, pork and venison, as long at the fat contents are below 15% for sausage and 10% for ground meat. Sausage sells for $5/pound and ground meat sells for $3/pound. Jerky, which sells or $10/pound, is made in a drying process from beef or venison. In the drying process, there is a 50% loss in weight for jerky made from beef (e.g., one pound of beef yields 0.5 pounds of beef jerky) and a 20% loss in weight for jerky made from venison. The market can sell at most 500 pounds of sausage, 1000 pounds of ground meat, and 100 pounds of jerky before their expiration dates. There are currently 1,000 pounds of beef (10% fat content), 500 pounds of pork (8% fat content), and 200 pounds of venison (2% fat content) available for processing.
-[Part 1] Refer to Exhibit 4-3.Suppose that later in the year,venison will be out of season,but the market will be able to obtain an additional 300 pounds of pork for the same costs.Develop a processing plan in that case.How does the solution change
Utility Function
An economic model that quantifies the satisfaction or happiness a consumer receives from consuming goods and services.
Expected Utility
A theory in economics that models how agents choose among risky alternatives to maximize their satisfaction.
Income
Receipts garnered on a habitual basis as a result of engaging in work or investment.
Von Neumann-Morgenstern
A theory of expected utility which provides axioms for how rational individuals make decisions under uncertainty.
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