Question 1:Suppose that I years from now, one investment plan will be generating profit at the rate of P₁(t) = 100+ hundred dollars per year, while a second investment will be generating profit at the rate of P2(t) = 220 + 2r hundred dollars per year. (a) For how many years does the rate of profitability of the second investment exceed that of the first? (b) Compute the net excess profit assuming that you invest in the second plan for the time period determined in part (a). (c) Sketch the rate of profitability curves y = P₁(t) and y = P2(t) and shade the region whose area represents the net excess profit computed in part (b). Question 2:Answer the questions in Question 1 for two investments with respective rates of profitability P₁(t) = 90e thousand dollars per year and P2 (t) = 140e0.0 thousand dollars per year.I also need help in question 5 which is in the image attached below. Q.1). Suppose that t years from now, one investment plan will be generating profit at therate of Pi(t) = 100 + * hundred dollars per year, while a second investment will begenerating profit at the rate of P2(1) = 220 + 2t hundred dollars per year.(a) For how many years does the rate of profitability of the second investmentexceed that of the first?(b) Compute the net excess profit assuming that you invest in the second plan forthe time period determined in part (a).(c) Sketch the rate of profitability curves y = P{(1) and y = P2(1) and shade theregion whose area represents the net excess profit computed in part (b).Q.2). Answer the questions in Problem 1 for two investments with respective rates ofprofitability Pi(1) = 90e0.l' thousand dollars per year and P2(t) = 140e0.07" thousanddollars per year. Q.5). A manufacturer guarantees a product for 1 year. The time to failure of the product after it is soldis given by the probability density functionS.01e-01tf(t) =if t z0otherwisewhere t is time in months.What is the probability that a buyer chosen at random will have a product failure(A) During the warranty period?(B) During the second year after purchase?End

Question

Question 1:Suppose that I years from now, one investment plan will be generating profit at the rate of P₁(t) = 100+ hundred dollars per year, while a second investment will be generating profit at the rate of P2(t) = 220 + 2r hundred dollars per year. (a) For how many years does the rate of profitability of the second investment exceed that of the first? (b) Compute the net excess profit assuming that you invest in the second plan for the time period determined in part (a). (c) Sketch the rate of profitability curves y = P₁(t) and y = P2(t) and shade the region whose area represents the net excess profit computed in part (b). Question 2:Answer the questions in Question 1 for two investments with respective rates of profitability P₁(t) = 90e thousand dollars per year and P2 (t) = 140e0.0 thousand dollars per year.I also need help in question 5 which is in the image attached below. Q.1). Suppose that t years from now, one investment plan will be generating profit at therate of Pi(t) = 100 + * hundred dollars per year, while a second investment will begenerating profit at the rate of P2(1) = 220 + 2t hundred dollars per year.(a) For how many years does the rate of profitability of the second investmentexceed that of the first?(b) Compute the net excess profit assuming that you invest in the second plan forthe time period determined in part (a).(c) Sketch the rate of profitability curves y = P{(1) and y = P2(1) and shade theregion whose area represents the net excess profit computed in part (b).Q.2). Answer the questions in Problem 1 for two investments with respective rates ofprofitability Pi(1) = 90e0.l' thousand dollars per year and P2(t) = 140e0.07&#34; thousanddollars per year. Q.5). A manufacturer guarantees a product for 1 year. The time to failure of the product after it is soldis given by the probability density functionS.01e-01tf(t) =if t z0otherwisewhere t is time in months.What is the probability that a buyer chosen at random will have a product failure(A) During the warranty period?(B) During the second year after purchase?End

Accepted Answer

Given.
P1'(t) = 110+t²
P2'(t) = 220+2t
Given plan is second one.