Question 1

Find two positive real numbers whose product is a maximum. (Enter your answers as a comma-separated list.) The sum of the first and twice the second is 24.2 The graph shows a quadratic function of the form P(t) = at + bt + c which represents the yearly prot for a company, where P(t) is the prot in year t. P PU) =m2+ bH c I Yearly prot. P I Year, I Q (a) Is the value of a positive, negative, or zero? Explain. o The value of a is positive because the graph of P opens upward. - The value of a is negative because the graph of P opens upward. - The value of a is zero because the graph of P opens upward. - The value of a is positive because the graph of P never intersects the taxis. - The value of a is negative because the graph of P never intersects the t-axis - The value of a is zero because the graph of P never interseci: the taxis. I (b) Write an expression in terms of a and b that represents the year t when the company made the least profit. (c) The company made the same yearly prots in 2012 and 2020. In which year did the company make the least prot? t =