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A Local Barbecue Joint Makes One Massive Batch of Potato

question 69

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A local barbecue joint makes one massive batch of potato salad each day. If they run out of this savory side before the end of the day, their last few customers are less than satisfied, but if they make too much, they sell it to the local hog farmer for feed. Every serving costs an equivalent of $0.23 to make, but can be sold for $1.50 to customers and for $0.08 to the hog farmer. The average daily demand is for 200 servings with a standard deviation of 20 servings. How many servings should be made each day?


Definitions:

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be consumed by everyone and one person's consumption doesn't reduce availability for others.

Quasi-Public Goods

Quasi-public goods are those that exhibit some characteristics of a public good such as non-excludability and non-rivalry but do not fully meet these criteria, often because they can be provided privately for a fee.

Optimal Amount

The quantity of production or consumption that maximizes efficiency or utility under given constraints.

Median Voter's Preference

A concept in political economy suggesting the outcome of a majority-vote decision process will most closely align with the preferences of the median voter.

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