Soal SMA · Soal cerita · Kesulitan 4/5
A company’s profit P (in thousands) after t months is modeled by P(t) = -2t² + 16t - 14. The company wants to know when it will break even (profit = 0). Which conclusion is correct?
- A.It breaks even at t = 1 and t = 7 months.
- B.It breaks even only at t = 2 months.
- C.It never breaks even.
- D.It breaks even at t = 3 and t = 5 months.
Kunci jawaban & pembahasan
Jawaban: It breaks even at t = 1 and t = 7 months.
Solving -2t²+16t-14=0 gives t²-8t+7=0, so t=1 or t=7.
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