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- Suppose that Var(X) = 661.1, Var(X) = 8021.53, and Cov(X,Y) = 1922.11. What is Var(.64X + .36Y)? Suppose that Var(X) = 869.03, Var(X) = 7850.84, and Cov(X,Y) = 2238.69. What is Var(.67X + .33Y)?A bag contains 12 yellow balls of 400 grams each and 18 blue balls of 700 grams each. Some yellow and some blue balls are taken from this bag and thrown into a second empty bag. At the end of this process; The average of the weights of the balls in the first bag was 500 grams, and the average of the weights of the balls in the second bag was 600 grams. What is the number of blue balls thrown into the second bag? A) 16 B) 14 C) 12 D) 10 E) 81. mary williams, owner of Williams products, is evaluating whether to introduce a new product line. after thinking through the production process and the costs of raw materials and new equipment, williams estimates the variable costs of each unit produced and sold at $6 and the fixed costs per year at $60,000 a. if the selling price is set at $18 each, how many units must be produced and sold for williams to break even? use both graphic and algebraic approaches to get your answer b. williams forecasts sales of 10,000 units for the first year if the selling price is set at $14 each. what would be the total contribution to profits from this new product during the first year? c. if the selling price is set at $12.50, williams forecasts that first-year sales would increase to 15,000 units. which pricing strategy ($14 or $12.50) would result in the greater total contribution to profits? d. what other considerations would be crucial to the final decision about…
- Suppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)? Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)? Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?Q6 Suppose that at time t=0, half of a "logistic" population of 100000 persons have heard a certain rumor and that the number of those who have heard it is then increasing at the rate of 500 persons per day. How long will it take for this rumor to spread to 80% of the population? ( Suggestion: Find the value of k by substituting P(0) and P'(0) in the logistic equation) a. About 98 days b. About 34 days c. About 19 days d. About 69 days e. About 119 daysIn the past four years, the annual returns of one company’s stockare 12%, 18%, and –14%, and 7%.a) What is the geometric average return? b) What is the arithmetic average of the returns? c) According to an economist’ forecast on the Year 2020, the probabilities of repeatingthe performances of the former four years are 30%, 30%, 20%, and 20%, respectively.What is the expected return of the stock in the Year 2020
- It is known that the ABC oil company supplies consumers with 150 tons of products per day. The company produces only two types of products - gasoline and diesel fuel. The limiting transformation ratio of diesel fuel relative to gasoline is 0.5. a) Draw a line of the company's monthly production capacity for gasoline and diesel. b) With the advent of new technologies, production increased by 20%, and the availability of gasoline increased by 30%. Explain how the company's new product line differs from the previous one. c) If we put the gasoline production on the X-axis of the graph, what percentage of the slope capacity of the production line is different from the slope ratio of the previous production line?If Cov(X,Y) = 639, then what is Cov(19X,10Y)? Suppose Cov(X,Y) = 43. What is Cov(0.23X, 0.33Y)? Suppose Cov(X,Y) = 872. What is Cov(0.99X, 0.86Y)?Q: Determine whether the following statemnts are true or false: a) If the firm increases the volume of used resources by 30%, and the volume of production thus increases by 20%, then there is a positive effect of the production scale. b) Average fixed costs decrease as production increases. c) The economic profit usually exceeds the accounting profit.
- Suppose the relationship between Y and X is given by: Y = 3.1415 + 6X + error By how much does the expected value of Y change if X increases by 7.23 units? (Round your answer to two decimal places: ex: 123.45)Problems & Applications (Ch 09) Q#9Q: Determine whether the following statemnts are true or false: a) The economic costs of a firm are payments to resource owners, sufficient to divert these resources from alternative consumption possibilities. b) Economic profit is an implicit cost. c) The larger the volume of production in the firm, the lower the total fixed costs.