Suppose you had a Bresnahan type of econometric study of the mid-range hotel (accommodation) industry, and this results in the following estimated demand and cost equations; Demand: P = 95.67 -1.64Q + 0.75Y1 + 0.42Y1Q + 0.65 Y2 where P is price, Q is quantity, Y1 is the price of a close substitute and Y2 is consumers' income. Cost equation: P 2.67 +0.21Q-0.36Y1Q+0.16W where P is price, Q is quantity, Y1 is the price of a close substitute and W is the wage rate in the industry. Using this information, calculate the Lerner index for this industry. Does market power exist in the industry? Justify your answer
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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)?Using a linear specification, you estimate your demand curve to equal Q=20-2P+10I, where • Q = the quantity demanded of your product • P = the price of your product • I = customer income (measured in thousands of dollars) In addition, your operations team estimates you have a constant marginal cost of $10. What quantity should you set to maximize profits assuming your average customer income equals $18000 (i.e. I=18)? a. Q=45 b. Q=50 c. Q=55 d. Q=90 e. Q=180ABC Company Limited is a new business established to produce tables (in units). The demand function for tables is given as 4? = 35 − 0.5?. It has been estimated that the total fixed cost is GH¢80 and average variable cost function is 3? − 51 + 320, where Q is number of tables produced ? and P is the price per table (in GH¢). Given this information, what is the total profit at the profit maximizing level of output, and what is the best pricing policy option?
- Suppose the demand function for a product is given by the function: D ( q ) = − 0.02 q + 80 D ( q ) = - 0.02 q + 80 Use integration (or other appropriate methods) to find the following: (Do no rounding of results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at q = 4 , 000 q = 4 , 000 .) A) The total actual revenue for q = 3 , 350 q = 3 , 350 units: Answer 1: B) The total possible revenue (for all quantities and prices): Answer 2: C) The Consumer's surplus corresponding to q = 3 , 350 q = 3 , 350 units: Answer 3: D) The "Not Sold" value corresponding to q = 3 , 350 q = 3 , 350 units: Answer 4The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…
- After an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.KK ltd produces goods for sale. From trend analysis the management accountant established a demand function of the product to be P=40−1.5q, where P is the unit selling price and q is the quantity in thousands. The enterprise has been producing under the cost TC=q2+10q+50, where TC is the total cost in thousands of cedis.Required1. What is the optimal price to maximize profit?2. Determine the maximum profit and the sale revenue at this point.The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain
- The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. a. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain b. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin for the entire line of tennis rackets. c. Based on this analysis, should the firm lower the price of Model A? Explaindenton productions limited utilizes statistical analysis to determine the optimal price for its sales to customera, during july 2020, the company was provided with the following demand and cost functions by a statistical research company, p=200-6Q, where p=price in dollars; and Q=quantitity of units in thousands TC=5Q2 + 24Q + 150, where TC is total costs in thousands of dollars a. determine the optimal output for july 2020 b. find the price that maximized profitThe market demand and supply functions for a type of carpet known as KP-7 have been estimated, respectively, as: QD = 160 – 6P, QS = – 100 + 20P. where P is the price (dollars per yard) and Q is the rate of sales (hundreds of yards per month). A typical firm in this market has a total cost function given as: TC = 100 – 22q + 2q2, where q is the firm’s output level. The optimal amount to produce for the typical firm is q =