A Rectangular Beam Will Be Cut from a Cylindrical Log $r = 40$

question 49

Multiple Choice

A rectangular beam will be cut from a cylindrical log of radius $r = 40$ 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.

• A) \(\sqrt { 3 } \mathrm { in } , 80 \mathrm { in }\)
• B) \(\frac { 80 } { \sqrt { 3 } }\) in, \(80 \sqrt { \frac { 2 } { 3 } }\) in
• C) \(\frac { 80 } { \sqrt { 3 } }\) in, \(\frac { 80 } { \sqrt { 3 } }\) in
• D) \(80 \sqrt { \frac { 2 } { 3 } }\) in, \(80 \sqrt { \frac { 2 } { 3 } }\) in
• E) 80 in, \(\sqrt { \frac { 2 } { 3 } }\) in

Comprehend the significance of regression analysis in trend measurement and forecasting.

Understand the concepts and necessity of statistical process control.

Identify and explain the purposes of different types of control charts.

Recognize the conditions necessary for a process to be considered capable.

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Gross Income

The total income from all sources before deductions, taxes, and expenses.

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Gross Income

The total income from all sources before any deductions or taxes are taken out.