A Rectangular Beam Will Be Cut from a Cylindrical Log

question 30

Essay

A rectangular beam will be cut from a cylindrical log of radius inches.Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth.Find the dimensions of the strongest beam that can be cut from the cylindrical log.

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Definitions:

AVC Curve

The average variable cost curve, which shows a firm's average variable costs of production at different levels of output.

Parkinson's Law

The adage that "work expands to fill the time available for its completion," suggesting efficiency decreases as the amount of time allocated to a task increases.

Pharmaceutical Industry

The sector of the economy that discovers, develops, produces, and markets drugs or pharmaceutical products for use as medications.

Marginal Cost

The augmentation in complete expenditure resulting from the manufacture of one more unit of a good or service.