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Solve the Problem T=5523cos2π365(t30)T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )

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Solve the problem.
-The average daily temperature T of a city in the United States is approximated by T=5523cos2π365(t30)T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 ) where t is in days, 1t3651 \leq \mathrm { t } \leq 365 \text {, } nd t = 1 corresponds to January 1. Find the period of T.


Definitions:

Nondiscriminating Profit-maximizing Monopolist

A monopolist who charges a uniform price for all units of output sold to all customers, maximizing profit without price discrimination.

Inelastic

A characteristic of goods whose demand or supply is not significantly affected by changes in price.

Nondiscriminating Monopolist

A monopolist who charges the same price for all units of output sold, not engaging in price discrimination between different consumers.

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