If the supply equation is Q= 50 + 4P +0.2p (a) find the price elasticity of supply if the current price is 8. (b) estimate the percentage change in supply if the price rises by 6%. ...... (a) (Do not round until the final answer. Then round to two decimal places as needed.) (b) % (Do not round until the final answer. Then round to two decimal places as needed.)
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- The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD=18,000+0.4N350PM+90Ps where N=numberofnewhomescompletedintheprimarymarketarea PM=priceoftheMapcotrimmerPS=priceofitscompetitorsSurefiretrimmer In 2010, 15,000 new homes are expected to be completed in the primary market area. Mapco plans to charge $50 for its trimmer. The Surefire trimmer is expected to sell for $55. What sales are forecasted for 2010 under these conditions? If its competitor cuts the price of the Surefire trimmer to $50, what effect will this have on Mapcos sales? What effect would a 30 percent reduction in the number of new homes completed have on Mapcos sales (ignore the impact of the price cut of the Surefire trimmer)?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? What is the unit price at this point of optimal demand? Demand is not expected to be more than 6,000 units per year.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=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. 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 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit.
- 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?Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −3.0. The marginal cost of producing the product is constant at $150, while average total cost at current production levels is $215. Determine your optimal per unit price if: Instructions: Enter your responses rounded to two decimal places.Over a relatively short time horizon demand for petrol is likely to be inelastic with respect to price. But over the longer term, as motor vehicle owners have the scope to change to other types of fuel such as gas, demand for petrol will be more elastic with respect to price. Group of answer choices! aTrue b.False
- A firm has an annual demand of S units for a good whose purchase cost is £c per unit. Each order costs £a to place, and the cost of holding stock is b% of the average value of stock per annum. Determine the optimal order quantity. A local firm uses 2000 units of a particular component each year. The component has a purchase price of £4/unit, while the cost of holding stock is estimated at 20% of the average stock value. If the cost of placing each order is £12.50, find the optimal number of orders placed each year. Suppose the component supplier offers a discount of 2% on the purchase price if orders are placed in units of 1000. Is the discount worth accepting? Suppose that instead of a single figure you had been given a probability distribution for the number of units used each year. Indicate the effect on stock policy.. Please explain fully , the last part is also important to solve.You are hired as a consultant at a revenue management firm and one of ourrecent clients wished to determine the optimum price for their consumer electronics product.The cost of the product is $100 and before retaining us, they had been selling the product at$200 because it felt like a nice round number. The current sales volume is 1000 units peryear. We examined the market preferences and buying behavior, and concluded that thiscompany’s marketplace has a price elasticity of 1 (i.e. Assume that an x% change in pricewill result in an x% change in sales volume for any x). What is the optimal price thatmaximizes total profit for this company? What are the sales volume, total revenue and totalprofit at the optimal price?A local manufacturer is in the process of introducing a new product to all of its retailers. The manufacturer has conducted a survey of consumers, as well as performed trial runs with selected retailers, and discovered the following information about demand for the new product at various price levels: Demand for New Product Quantity Demanded(Number of Units) Price per Unit ($) 300 15 250 25 200 35 150 45 100 55 50 65 0 75 The manufacturer has the following information about how many units they are willing to supply to each retailer at various price levels: Supply for New Product Quantity Supplied(Number of Units) Price per Unit ($) 0 7.50 50 22.50 100 37.50 150 52.50 200 67.50 250 82.50 300 97.50 At what quantity and price will both manufacturer and consumer find equilibrium? And what factors could affect the demand and supply for the new product? When using mathematical concepts to model demand and supply, what parameters must be…
- A local specialty wine store normally sells an average of 129 imported wines from France - per month - over 6 months at an average of $15.86 each. The price elasticity of Demand for these wines is estimated to be -1.64. Recent government regulations, Canadian Dollar value changes and transportation costs have increased costs considerably resulting in higher breakeven prices for all items. In order to capture economic profits the store manager decides to take some action and re-prices the inventory in the store. If the manager increases the price of French Wines by 10% how many bottles of French Wine will they sell? ** HINT - use the basic formula: Elasticity = (Unknown Q / Change in Price) x (Average Price / Average Quantity sold) ** enter your answer for HOW many bottles of French Wine will be sold FOLLOWED by whether the elasticity value is inelastic or elasWharton 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.…