本题目来源于试卷: IB MAI HL Functions Topic 2.3 Properties of Functions，类别为 IB数学
[问答题]
A tyre manufacturing company has found thatv t(1 s0k(9sh/r e g--kmtsoiu the number of tyres it produces, N,dhv5wf3x n3wf4vof(a 1ew ,5v9z hh3y can be modelled by h 35f f 3fh(e9 5yavvwzxh,nd4wov1 3wthe function
N(t)=3t−9where 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
(N)=60N−850where N is the number of tyres produced.
1.Find the company's profit or loss if it operates for 66 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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