11.)(*) Ollah’s Organic Pet Shop sells about 4,000 bags of free- range dog biscuits every year. The fixed ordering cost is $15, and the cost of holding a bag in inventory for a year is $2. What is the economic order quantity for the biscuits? )(**) Suppose Ollah decides to order 200 bags at a time. What would the total ordering and holding costs for the year be? (For this problem, don't consider safety stock when calculating holding costs.)
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- Wharton Econometric Forecasting, LLC has been hired to analyze demand in 30 regional markets for Product Y, a major item. A statistical analysis of demand in these markets shows (standard errors in parentheses): QY = 26,950 − 450P + 220PX + 0.08A + 0.01I (11,000) (150) (180) (0.3) (0.05) R2 = 0.95 Standard Error of the Estimate = 10 Here, QY is market demand for Product Y, P is the price of Y in dollars, A is dollars of advertising expenditures, PX is the average price in dollars of another (unidentified) product, and I is dollars of household income. In a typical market, the price of Y is $100, PX is $70, advertising expenditures are $50,000, and the average family income is $60,000. 1. Which variables in this regression model are statistically significant at the 95 percent confidence level? Show your work.Wharton Econometric Forecasting, LLC has been hired to analyze demand in 30 regional markets for Product Y, a major item. A statistical analysis of demand in these markets shows (standard errors in parentheses): QY = 26,950 − 450P + 220PX + 0.08A + 0.01I (11,000) (150) (180) (0.3) (0.05) R2 = 0.95 Standard Error of the Estimate = 10 Here, QY is market demand for Product Y, P is the price of Y in dollars, A is dollars of advertising expenditures, PX is the average price in dollars of another (unidentified) product, and I is dollars of household income. In a typical market, the price of Y is $100, PX is $70, advertising expenditures are $50,000, and average family income is $60,000. Use the estimated demand function to calculate the expected value of QY in a typical market. Calculate the 95% confidence interval within which you would expect to find actual values of sales.…demand for a product is related to its selling price P (in dollars) by the equation n=2800-100p where n is the number of fans that can be sold per month at a price P. Find the selling price that will maximize the revenue.
- The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95e−3p2 + p, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a) Determine the price elasticity of demand E when the retail price is set at ¥400. E = _____ Interpret your answer. The demand is going down/up by ____ % per 1% increase in price at that price level. Thus, a large price decrease/increase is advised. (b) At what price will revenue be a maximum? ____ hundred yen (c) Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) ______ paint-by-number sets per monthConsider the “Trip Logistic” example discussed in class (i.e. base case). Please solve the same problem with each of the following changes, and compare the results with those of the basecase: a) The spot market price (in period 0) is reduced to $0.55 per sq. ft. per year. Assume that everything else remains the same as the base-case. b) There is a lower demand uncertainty: Demand can go up by 5% with p= 0.5 or down by 5% with 1 − p= 0.5. Assume that everything else remains the same as the base-case.A manufacturer of computer workstations gathered average monthly sales figures from its 56 branch offices and dealerships across the country and estimated the following demand for its product: Q = +15,000 - 2.80P + 150A + 0.3Ppc + 0.35Pm + 0.2Pc The variables and their assumed values are Q = Quantity P = Price of basic model = 7,000 A = Advertising expenditures (in thousands) = 52 Ppc = Average price of a personal computer = 4,000 Pm = Average price of a minicomputer = 15,000 Pc = Average price of a leading competitor’s workstation = 8,000 Compute the elasticities for each variable. On this basis, discuss the relative impact that each variable has on the demand. What implications do these results have for the firm’s marketing and pricing policies?
- Worldwide annual sales of smart phones in over a five-year period were projected to be approximately q=-10p+4440 million phones at a selling price of $P per phone. Obtain a formula for the price of elasticity of demand E. In one particular year the actual selling price was $271 per phone. What was the corresponding price elasticity of demand? Use your formula for E to determine the selling price that would’ve resulted in the largest annual revenue. What, nearest to the nearest 10 million, would have been the resulting annual revenue?OPEC currently produces about 38 per cent of the world output of oil. Assuming the short-term price elasticity of demand is 0:28, estimate the effect of the output cut on the current price, stating any assumptions in your calculations.(A) The monthly supply of desktop personal computers is given by the equation QS = 15,000 + 43.75P. At a price of $800, what is the price elasticity of supply? Q 2. (B) The British Automobile Company is introducing a brand new model called the "London Special." Using the latest forecasting techniques, BAC economists have developed the following demand function for the "London Special": QD = 1,200,000 - 40P a) What is the point price elasticity of demand at prices of (a) $8,000 and (b) $10,000? b) Is it Elastic, Unit Elastic or Inelastic, Explain why? (A) Phoenix Lumber Company uses the number of construction permits issued to help estimate demand (sales). The firm collected the following data on annual sales and number of construction permits issued in its market area: No. of Construction Sales Year Permits Issued (000) (1,000,000) 2003 6.50 10.30 2004 6.20 10.10 2005 6.60 10.50 2006 7.30 10.80 2007 7.80 11.20 2008 8.20 11.40 2009 8.30 11.30…
- 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?Question a) Demand for Magnum Ice Cream is given by an equation as Q = 70 – 10P + 4 Px + 50 I Where, Q = Quantity of Magnum demanded, P = Price of Magnum Ice Cream, Px = Price of Walls Ice Cream, I = Per Capita Income Assume P = Rs 100, Px = Rs 120 and I = Rs 25 (Rs in thousands). Calculate Price Elasticity of Demand Cross Price Elasticity of Demand Income Elasticity of Demand and How the elasticity does estimates help in managerial decision making? b) A city government is considering renting space in an all‑day parking garage for its 100 employees. The government estimates these employees' demand function for parking spaces is 150 ‑ 50P (P ≥ $1), where P is the per-day price of parking, and the city will pass on the cost. If the city needs not charge each of its employees the same price for a parking space, what is the maximum amount the city could pay for the 100 spaces, and what would be the average cost per space? Assume the employees’ union…Consider a market in which supply depends on current price qt = b0 + b1pt + ut b1 > 0 while demand depends not only ont he current price, but also on the price rationally expected to prevail in the near future: qt = a0 + a1pt + a2Etpt+1 + vt Here a1 < 0 and a2 > 0 while ut and vt are white-noise disturbances. Find solution for pt.