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 4e io49)dmrt(bhdq 9i has found that the number of tyres it produc t58ny-q+e;s wtoa ;szes, N, can be modelled by the fus yq8ot5wz+sta -;;e nnction
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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