(b) Find the time path of capital (K, t), given the following rates of net investment flow functions: 1(t)=18012/3 1(t)=9¹/2 (ii) initial conditions t=1; K(1) = 152 initial conditions t=0, K(0) = 20
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- A large company in the communication and publishing industry has quantified the relationshipbetween the price of one of its products and the demand for this product as Price = 150 − 0.01× Demand for an annual printing of this particular product. The fixed costs per year (i.e., perprinting) = RM50,000 and the variable cost per unit= RM40. a) Analyze what is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year. b) Compute what is the unit price at this point of optimal demand.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?In the formula ke >= (D1/P0) + g, what does (D1/P0) represent?
- Given the initial state vector (1, 0) and the transition matrix shown below, find the state vector corresponding to two steps later (n = 2). a. (0.2002, 0.7998) b. (0.8086, 0.7998) c. (0.8086, 0.1914) d. (0.7998, 0.2002)Define the term PW Analysis?Metropolitan Hospital has estimated its average monthly bed needs asN = 1;000 + 9Xwhere X = time period (months); January 2002 = 0N = monthly bed needsAssume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years:MONTH ADJUSTMENT FACTOR (%)January +5April −15July +4November −5December −25a. Forecast Metropolitan’s bed demand for January, April, July, November, and December 2007.b. If the following actual and forecast values for June bed demands have been recorded, what seasonal adjustment factor would you recommend be used in making future June forecasts?YEAR FORECAST ACTUAL2007 1,045 1,0962006 937…
- Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 2000 fish. Absent constraints, the population would grow by 210% per year.If the starting population is given by p0=400p0=400, then after one breeding season the population of the pond is given byp1p1 = After two breeding seasons the population of the pond is given byp2p2 =4. The estimation of the model with quarterly car sales in the U.S. from 1975 to 1990 gives: Source | df MS Number of obs = 64 F( 2, Prob > F 61) = 12.21 Model .32720224 2 .16360112 0.0000 Residual | .817286587 61 .013398141 R-squared Adj R-squared = 0.2625 Root MSE 0.2859 Total | 1.14448883 63 .018166489 .11575 lqne | cCoef. t P>|t| std. Err. [95% Conf. Interval] 1price lincome -.4604611 3.37186 6.89398 -.8280926 .1838504 -4.50 0.000 -1.195724 2.399991 . 4860261 4.94 0.000 1.428121 _cons 5.92543 .4843662 12.23 0.000 4.95688 Based on the parameter estimates, what is the predicted effect of a 10% increase in price on the number of cars sold? What would be the effect of that price increase on the value of car sales?True or False: Heteroskedasticity biases our estimates
- Assume a pool of 115 people in an insurance pool (a group of people insured through community rating). It is estimated that a small number in the pool will have significant pre- existing conditions as indicated in the table. Based on the age of these 115 people, the insurance company estimates the following distribution of health care claims (which includes necessary profit and administrative costs of the insurance company). Number of Insured Antidipated Heath Costs/Year/Person $1,400 $1,500 $1,600 $1,700 $1,800 $1,900 $2,000 $2,100 $2,200 $2.300 $2,400 $2,500 $2,700 $2,000 $2,900 $3,000 $3,100 $3.200 $3.300 $4,000 57,00 $10,000 Everyone joins the poal ad pays the necessary premum in the first year. The clams experience of the customers is faund to be generaly consstent with expeclations of the insurance company. A) What would be the premium In the third year if there is no inflation, based on the company's oxperience from the past year? B) If those customers who have anticipated…A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150−0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year? What is the unit price at this point of optimal demand?Given the import function, Z = 300 + 2/3Y, which of the following statements is correct?(a) The marginal propensity to save is 1/3;(b) The induced component is 300;(c) 2/3 is the proportion of any income spent on imports;(d) None of the statements is correc