Suppose Var(X) = 88, Var(Y) = 82, and X and Y are independent. What is Var(.36X + .64Y)? Suppose Var(X) = 26, Var(Y) = 74, and X and Y are independent. What is Var(.36X + .64Y)?
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- Let Var(X) = 25 and Z= 2X + 5 Compute Var (Z)Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election. Sleaze’s share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads. If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits? A) 2,853. B) 1428. C)98 D) 477.Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R(x) = 42x − 0.05x2. (a) Find R(50). $ Tell what it represents. 50 units produce this amount of revenue. The revenue decreases by about this amount when the number of units is increased from 50 to 51. The actual revenue of the 50th unit is this amount. 51 units produce this amount of revenue. The revenue increases by about this amount when the number of units is increased from 50 to 51. (b) Find the marginal revenue function. MR = (c) Find the marginal revenue (in dollars per unit) at x = 50. $ per unit Tell what it predicts about the sale of the next unit and the next 2 units. The sale of the next unit will the revenue by about $ . The sale of the next 2 units will the revenue by about $ . (d) Find R(51) − R(50). $ Explain what this value represents. actual revenue from the 50th unit actual revenue from 51 units…
- A company has determined that its profit for a product can be described by a linear function. The profit from the production and sale of 150 units is $455, and the profit from 250 units is $895. What is the average rate of change of the profit for this product when between 150 and 250 units are sold? Write the equation of the profit function for this product How many units give break-even for this product?Suppose a firm is considering investing $20 million in a new marketing campaign. If the price is$65,000/vehicle, they estimate they would sell an additional 2,000 vehicles; If the price is $50,000/vehicle they estimate they would sell an additional 3,000 vehicles. Calculate the company’s profits under both scenarios.A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x +22x³-432x² + 75,000, where 18 ≤x≤ 48. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.) GEZET
- A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: B(T) = 8T2 + 976T – 28890 С(Т) 3D — 2T?+244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T : TThe COVID-19 pandemic has caused an unprecedented increase in savings in many countries around the world. In the EU, the savings rate of households has jumped from 12.5% to 17%. In 2008-2009, it had moved from 12.5% to 14% (Dossche and Zlatanos 2020). Even if the source of 2020 surge in savings is different from the one of 2008, it is obvious that this increase does not result in more investment and growth. QUESTION: 1. Evaluate if and how increased savings in recession can influence consumption, export, and investmentThe COVID-19 pandemic has caused an unprecedented increase in savings in many countries around the world. In the EU, the savings rate of households has jumped from 12.5% to 17%. In 2008-2009, it had moved from 12.5% to 14% (Dossche and Zlatanos 2020). Even if the source of 2020 surge in savings is different from the one of 2008, it is obvious that this increase does not result in more investment and growth. QUESTION: Explain why household’s desire to save more may lead to a recession in the short run.
- The COVID-19 pandemic has caused an unprecedented increase in savings in many countries around the world. In the EU, the savings rate of households has jumped from 12.5% to 17%. In 2008-2009, it had moved from 12.5% to 14% (Dossche and Zlatanos 2020). Even if the source of 2020 surge in savings is different from the one of 2008, it is obvious that this increase does not result in more investment and growth. QUESTION: 1. With reference to the paradox of thrift discuss the appropriate approach by the government to get the economy out of economic downturn swiftly6. Show that Var[X] = E[X²], if EX] = 0.Let P(A) = 0.2, P(B) = 0.6 and P(A or B) = 0.5. Are events A and B mutually exclusive? Why or why not?