The number $$ N $$ of cars produced at a certain factory in 1 day after $$ t $$ hours of operation is given by $$ N(t)=300 t-15 t $$ $$ 0 \leq t \leq 10 $$. If the cost $$ C $$ (in dollars) of producing $$ N $$ cars is $$ C(N)=35,000+3000 N $$, find the cost $$ C $$ as a function of $$ t $$ time of operation of the factory. What is the cost $$ C $$ as a function of the time $$ t $$ of operation of the factory? $$ C(t)=\square $$

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$$ C(t) = 35,000 + 900,000t - 45,000t^2 $$

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