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Daily Production Levels in a Plant Can Be Modeled by the Function

question 14

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Daily production levels in a plant can be modeled by the function G(t)=3t2G(t)=-3 t^{2}+18t9+18t-9 , which gives units produced t hours after the factory opened at 8am.At what time during the day is factory productivity a maximum? Answer in the form "_:_ _" (without an "am" or "pm").


Definitions:

Budget Line

A graphical representation of all possible combinations of two goods that can be purchased with a given budget at fixed prices.

Risky Asset

A financial instrument or investment that has a high degree of uncertainty regarding its returns or potential for loss.

Standard Deviation

An indicator of the degree to which a collection of numbers diverges or spreads from their average, signaling the extent of the distribution from the central value.

Portfolio

A collection of financial investments like stocks, bonds, commodities, and cash equivalents, as well as their mutual, exchange-traded, and closed-fund counterparts.

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