Find the Extreme Values of the Function Subject to the Given

question 327

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $$f ( x , y ) = x ^ { 2 } y , x ^ { 2 } + 2 y ^ { 2 } = 6$$

• A) Maximum: 4 at \(( 2,1 )\); minimum: \(- 4\) at \(( - 2 , - 1 )\)
• B) Maximum: 18 at \(( \pm 3,2 )\); minimum: \(- 18\) at \(( \pm 3 , - 2 )\)
• C) Maximum: 4 at \(( \pm 2,1 )\); minimum: \(- 4\) at \(( \pm 2 , - 1 )\)
• D) Maximum: 18 at \(( 3,2 )\); minimum: \(- 18\) at \(( - 3 , - 2 )\)

Understand the fundamental concepts of control charts and their importance in statistical quality control.

Distinguish between true statements and misconceptions regarding statistical quality control tools.

Calculate process capability indexes using real data to assess the capability of a manufacturing or production process.

Determine control limits for various types of control charts (e.g., p-charts) using provided data and statistical formulas.

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Definitions:

Net Income

The amount of profit earned in a period after all expenses, taxes, and costs have been subtracted from total revenue.

Fixed Ratio

A financial metric that reflects the consistency of a company's financial performance by comparing various fixed costs to its total expenses.

Interest On Capital

The return on investment that is required or anticipated for the money or capital invested in a business or project.

Salary Allowances

Additional compensations over the base salary that may cover various specific needs or expenses.