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Suppose a Sausage Company Makes Two Different Kinds of Hot

question 75

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Suppose a sausage company makes two different kinds of hot dogs, regular and all beef. Each pound of all-beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 982.5 lb of beef, at most 600 lb of pork, and at least 490 lb of spices. If the profit is $0.60 on each pound of all-beef hot dogs and $0.40 on each pound of regular hot dogs, how many pounds of each should be produced to obtain maximum profit? What is the maximum profit?


Definitions:

Ordinary Goods

Goods for which demand increases as consumer income increases and decreases as consumer income decreases, opposite to inferior goods.

Consumer Equilibrium

A scenario in which a consumer has distributed their income to achieve the greatest satisfaction, considering the prices of goods and services.

Budget Constraint

A representation of all the combinations of goods and services that a consumer can afford to purchase at given prices within their income level.

Utility

In economics, utility refers to the total satisfaction received from consuming a good or service.

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