Simplify the Expression $$\sqrt { \frac { 8 x ^ { 2 } y } { 25 } }$$

question 342

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { \frac { 8 x ^ { 2 } y } { 25 } }$$

• A) \(4 x \sqrt { 2 y }\)
• B) \(\frac { 2 \sqrt { 2 x ^ { 2 } y } } { 5 }\)
• C) \(\frac { 2 x \sqrt { 2 y } } { 5 }\)
• D) \(x \sqrt { \frac { 8 y } { 5 } }\)

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Definitions:

Average Variable Cost

The total variable cost per unit of output, calculated by dividing total variable costs by the quantity of output.

MR = MC

Marginal Revenue equals Marginal Cost; a condition used to determine the profit-maximizing level of output for a firm.

Profit-maximizing Quantity

The level of output at which a business realizes the greatest profit, where marginal cost equals marginal revenue.

Economic Loss

Occurs when the total cost of producing a good or service exceeds the revenue generated from its sale, leading to negative profitability.