本题目来源于试卷: Properties of Functions，类别为 IB数学
[问答题]
A tyre manufacturing company has foun c p8td-4eea*e.yxq*i d that the number of tyres it produces,boota p 35u/d13a ecd4 N , can be modelled by th5pad1/c due43 o3 oabte function
N(t)=3 t-9
where t is the number of hours the factory operates per day, with a minimum of 3 hours.
The profit the company makes, P , in dollars, depends on the number of tyres produced, and is modelled by the function
P(N)=60 N-850
where N is the number of tyres produced.
1. Find the company's profit or loss if it operates for 6 hours per day.
2. Find the company's profit in terms of the hours of operation per day, t .
3. Determine the number of hours the company needs to operate the factory per day in order to earn a positive profit. Give your answer to the nearest hour.
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