Determine the share (proportion) of person trips by each of two modes (Private auto and mass transit) using the multinomial logit model and given and following information
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Determine the share (proportion) of person trips by each of two modes (Private auto and mass transit) using the multinomial logit model and given and following information
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- A large company in the communication and publishing industry hs quantified the relationship between the price of one of its products and the demand for this product as Price = 160 -0.01 xDemand for an annual printing of this particular product. The foxed costs per year (ie. per printing) = $4T 000 and the variable cost per unit = $35. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 7,000 units per year. The maximum profit that can be achieved is S. (Round to the nearest dolar.) The unit price at the point of optimal demand is S per unit (Round to the nearest cent)(a) The sales of a book publication are expected to grow according to the functionS = 300000(1 − e−0.06t), where t is the time, given in days.(i) Show using differentiation that the sales never attains an exact maximum value.(ii) What is the limiting value approached by the sales function?(b) A poll commissioned by a politician estimates that t days after he makes a statementdenegrating women,the percentage of his constituency (those who support him at the time hemade the statement) that still supports him is given by S(t) =75(t2 − 3t + 25)t2 + 3t + 25The election is 10 days after he made the statement.(i) If the derivative S’(t) may be thought of as an approval rate, derivate the a functionfor his approval rate.(ii) When was his support at its lowest level?(iii) What was his minimum support level?(iv) Was the approval rate positive or negative on the date of the election?(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curvefor the bast will be…Advertising A small manufacturing firm collected the following data on advertising expenditures A (in thousands of dollars) and total revenue R (in thousands of dollars). (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables (b) The quadratic function of best fit to these data is R(A) = - 7.76A2 + 411.88A + 942.72 Use this function to determine the optimal level of advertising. (c) Use the function to predict the total revenue when the optimal level of advertising is spent. (d) Use a graphing utility to verify that the function given in part (b) is the quadratic function of best fit. (e) Use a graphing utility to draw a scatter diagram of the data, and then graph the quadratic function of best fit on the scatter diagram.
- The soft goods department of a large department store sells 184 units per month of a certain large bath towel. The unit purchase cost of a towel to the store is $2.5 and the cost of placing an order has been estimated to be $11. The store's inventory carrying cost is 33% of the purchase cost of the goods. Suppose that the demand rate is a constant and the EOQ model is used. What is the optimal annual cost of placing orders and holding inventory?potter makes and sells ceramic bowls. It is observed that when the price is $32, only 9 bowls are sold in a week; but when the price decreases to $10, weekly sales rise to 20. Assuming that demand can be modelled by a linear function, (a) obtain a formula for Pin terms of Q (b) Calculate for the slope of the curve if the relationship between p and Q is linear. (c) comment on the likely reliability of the modelA reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 34 feet. If the distance across the top of the mirror is 70 inches how deep is the mirror in the center? A) 1225/19584 in. B) 289/35 in. C) 1225/1632 in. D) 1225/136 in. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = t^3 + 1, y = t^3 - 15; -2 lessthanorequalto t lessthanorequalto 2 A) y = x - 16; -7 lessthanorequalto x lessthanorequalto 9 B. y = -x^2; -4 lessthanorequalto x lessthanorequalto 4 C) y = -x - 16; -7 lessthanorequalto x lessthanorequalto 9 D) y = x^3; -3 lessthanorequalto x lessthanorequalto 1 Solve the problem. Round to the nearest if needed. To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 9% per year compounded annually, find the value of the IRA after 40 years. A) $60, 819 B) $24, 330, 719 C) $675, 765 D) $618, 133…
- Suppose that sales revenue (S) depends upon the quantity of advertising (A), in a relationship estimated as: S= 14 + 16A-2A2 Task: how many unit of advertising should be undertaken to maximize sales?Population of Fish in a Lake A lake is stocked with 100 fish. Let f(1) be the number of fish after i months, and suppose that y = f(1) satisfies the differential equation y' = .0004y(1000 – y). Figure 7 shows the graph of the solu- tion to this differential equation. The graph is asymptotic to the line y = 1000, the maximum number of fish that the lake can support. How fast is the fish population growing when it reaches one-half of its maximum population? 1000 800 600 400 200 10 15 Figure 7 Growth of a fish population.I need help especifically with the part where they rearrange the equation as: .0790(V/E) = .11 + .058(.75)(D/E). How do they get an inverse (V/E) on the left side without the .11. And how do they get a (D/E) ratio.
- Using Y as the dependent variable and X1, X2, X3, X4 and X5 as the explanatoryvariables, formulate an econometric model for data that is (i) time series data (ii)cross-sectional data and (iii) panel data – (Hint: please specify the specific model herenot its general form).With respect to a given product, describe the connection that exists between equalibrium/disequalibrium and prediction. cite an unique exampleWhy might log (nox)and rooms be negatively correlated?