If $P ( w ) = 7 ^ { w } w ^ { - \frac { 7 } { 2 } }$

question 26

True/False

If $P ( w ) = 7 ^ { w } w ^ { - \frac { 7 } { 2 } }$ , then $P ^ { \prime } ( w ) = 7 ^ { w } \cdot \ln 7 \cdot w ^ { - \frac { 7 } { 2 } } + 7 ^ { w } \left( \frac { 7 } { 2 } w ^ { - \frac { 9 } { 2 } } \right)$ .

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Revenues

The total income earned by a company for selling its goods or services before any costs or expenses are deducted.

Gross Profit

The difference between sales revenue and the cost of goods sold before deducting overhead, payroll, taxes, and interest payments.

Operating Expenses

Costs associated with the day-to-day operations of a business, including rent, utilities, salaries, and office supplies.

Sales Revenue

The income received from selling goods or services over a given period of time before any deductions are made for costs or expenses.