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When a Manufacturer Produces and Sells X Units Per Week P=100(2000+120xx2)P = 100 \left( 2000 + 120 x - x ^ { 2 } \right)

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When a manufacturer produces and sells x units per week, its weekly profit is P dollars, where P=100(2000+120xx2)P = 100 \left( 2000 + 120 x - x ^ { 2 } \right) Production level t weeks from the present will be x=t216x = \frac { t } { 2 } - 16 Find the rate of change in profit with respect to x. Enter your answer as a polynomial in x in standard form (not labeled).


Definitions:

Ledger

A comprehensive collection of a company's financial accounts, transactions, and balances.

Current Liabilities

Financial liabilities scheduled for payment within a year or the regular business cycle.

Current Assets

Assets that are expected to be converted into cash, sold, or consumed within a year.

Prepaid Expenses

Payments made for goods or services to be received in the future, recorded as current assets on the balance sheet.

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