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One of the Highlights of the Calaveras Fair, Besides the Bullfrog

question 65

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One of the highlights of the Calaveras Fair, besides the bullfrog jumping contest, is the watermelon seed spitting contest.The seed spitting is being done in the direction of s=5i+j\vec { s } = 5 \vec { i } + \vec { j } .The wind velocity during the contest is w=i+4j\vec { w } = \vec { i } + 4 \vec { j } mph.The rules say that a legal wind in the direction of the seed spit must not exceed 3 mph.Mr.Samuel C.himself just spit for a record of 22 ft 1.4 inches. Will his record stand?


Definitions:

Law of Diminishing Marginal Utility

The principle that as a person increases consumption of a product, there is a decline in the marginal utility that person derives from consuming each additional unit.

Ability-To-Pay Principle

The idea that those who have greater income (or wealth) should pay a greater proportion of it as taxes than those who have less income (or wealth).

Marginal Cost

the additional cost incurred to produce one more unit of a good or service.

Marginal Benefit

The added joy or utility one achieves by consuming an additional unit of a product or service.

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