sider the following estimated regression for 220 home sales 019 (estimated standard errors in parentheses) = 119.2 + 0.485BDR + 23.4Bath + 0.156Hsize + 0.002 (8.94) (2.61) (0.011) (0.0004 R2 = 0.72 re Price denote the selling house price (measured in $1000 ber of bedrooms, Bath denote the number of bathrooms of the house (in square feet), Lsize denote the lot size (in denote the age of the house (in years).
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- 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?AD has estimated the following demand relationship for its product over the last four years, using monthly observations: ln Qt = 4.932- 1.238 ln Pt + 1.524 ln Yt-1 + 0.4865lnQt-1(2.54) (1.38) (3.65) (2.87)R2= 0.8738where Q = sales in units, P = price in Rs., Y is income in Rs,000, and the numbers in brackets are t-statistics.a. Interpret the above model.b. Make a sales forecast if price is Rs. 9, income last month was Rs. 25,000 and sales last month were 2,981 units.c. Make a sales forecast for the following month if there is no change in price or income.d. If price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.Solve for x for the following equation: 4ln(3x-8) = 60
- Eastman Publishing Company is considering publishng an electronic textbook about spreadsheet applications for business. The fixed cost of manuscrpt preparation, textbook design, and web site construction is estimated to be $160,000, Varable processing costs are estimated to be $6 per book. The publisher plans to sell single user access to the book for $46. (a) Buld a spreadsheet model in Excel to calculate the profit/loss for a given demand, What profit can be anticipeted with a demand of 3,500 copies? For subtractive or negative numbers use a minus sign. (b) Use a data table to vary demand from 1,000 to 6,000 in increments of 200 trn test the sensitivity of profit to demand. Breskeven occurs where profit goes from a negabve to a positive value, that s, breakeven is where total revenue - total cast yielding a profit of zero. In which interval of demand dons breakeven occur? (1) Breakeven appears in the interval of 4,200 to 4,800 copies. (i) Breakeven appears in the interval of 4,000 to…regression result for your product is shown in the table below: Variable Parameter Estimates Standard error Constant -164.0 20.24 Price of good X (P,) Price of good Y (P,) -3.50 1.55 2.50 0.28 Per capita Income (/) 0.45 0.52 R-squared Adjusted R-squared 0.8672 0.8132 F-statistic 15.6893 a) Suppose the average price of 3 units of good X is GH¢12, price of 2 units of goodY is GH¢60, the per capita income of Ghana is GH¢420. i. Write down the estimated demand equation for your firm's product and interpret the parameter estimates. Determine the quantity of good X sold. Estimate the own price elasticity of demand and state the type of demand curve 11. 111. your firm has? What would be the effect of a price increase on the firm's total revenue? iv. Assess the probable impact on your firm if the firm producing geod Y decreases their price by 10%. Explain the adjusted R-squared Is the good X a normal or inferior good? What is the relationship between good X and good Y? V. vi. vii. viii..kad has estimated the following demand relationship for its product over the last four years, using monthly observations: ln qt = 4.932- 1.238 ln pt + 1.524 ln yt-1 + 0.4865ln qt-1 (2.54) (1.38) (3.65) (2.87) r 2= 0.8738 where q = sales in units, p = price in rs., y is income in rs,000, and the numbers in brackets are t-statistics. a. interpret the above model. b. make a sales forecast if price is rs. 9, income last month was rs. 25,000 and sales last month were 2,981 units. c. make a sales forecast for the following month if there is no change in price or income. d. if price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.
- US Auto Company would like to offer rebates to its customers in order to increase sales. If it lowers prices sales will increase. This will depend on the price elasticity of demand. Assume that the price elasticity of demand is 1.5. This firm is considering a $400 rebate on its cars. Also assume the following information on prices and costs before the rebates: Average price per car $9,000 per car Expected sales volume at $9,000) per car 1,000,000 cars Average total costs per car $8,200 per car Total variable cost $6,400,000,000 Calculate the present total fixed costs, average variable costs and average fixed costs. What is the present breakeven point? What is the change in revenue resulting from the $400 price reduction? What is the effect on the cost per car after the change? In other words what is the average cost per…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.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?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?
- regression result for your product is shown in the table below: Variable Parameter Estimates Standard error Constant -164.0 20.24 Price of good X (P,) Price of good Y (P,) -3.50 1.55 2.50 0.28 Per capita Income () 0.45 0.52 R-squared Adjusted R-squared 0.8672 0.8132 F-statistic 15.6893 a) Suppose the average price of 3 units of good X is GH¢12, price of 2 units of goodY is GHe60, the per capita income of Ghana is GH¢420. Write down the estimated demand equation for your firms product and interpret the 1. parameter estimates. I 11. Determine the quantity of good X sold. 111. Estimate the own price elasticity of demand and state the type of demand curve туре irm has? your What would be the effect of a price iıncrease on the firm's total revenue? iv. V. Assess the probable impact on your firm if the firm producing good Y decreases their price by 10%. Explain the adjusted R-squared Is the good X a normal or inferior good? vi. vii. viii. What is the relationship between good X and good Y?Consider the output here from a regression in R. What is 3₂? Coefficients: Estimate (Intercept) 1.708 5.404 -1.478 9.531 X1 X2 X3 Std. Error 0.555 2.792 0.6 2.758The assumption that is required to shows the efficiency of the OLS estimator, consistency and unbiasedness is: i) Cov(u,,u-;) { A0 ii) Var(u,) =o? iii) E(u,) = 0 iv) u, ~ N(0,0²) a) (i), (ii) and (iii) only b) (i) and (iii) only c) (ii) and (iv) only d) (i), (ii) (iii) and (iv) Answer O A OD