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- Suppose the demand function for a firm’s product is given by ln Qdx = 7 − 1.5 ln Px + 2 ln Py − 0.5 ln M + ln A Final wherePx = $15, Py = $6, M = $40,000, and A = $350 . Determine the own price elasticity of demand, and state whether demand is elastic, inelastic, or unitary elastic. b. Determine the cross-price elasticity of demand between good X and good Y, and state whether these two goods are substitutes or complements. c. Determine the income elasticity of demand, and state whether good X is a normal or inferior good. d. Determine the own advertising elasticity of demandPNG’s managers estimate that a 50% increase in price would cause an 80% reduction in the quantity of product sold. Total fixed costs for the product are $5000 and total variable costs are $4000, based on production of 400 units. The following values may be useful. 1n (0.2) = –1.609 1n (1.5) = 0.405 1n (0.5) = –0.693 1n (4000) = 8.294 1n (0.8) = –0.223 1n (5000) = 8.517 What is PNG’s price elasticity of demand? –0.252 +0.322 –3.973 +3.108The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomac’s closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. a. What is the arc cross elasticity of demand between Potomac’s oven and the competitive Spring City model? b. Would you say that these two firms are very close competitors? What other factors could have influenced the observed relationship? c. If Potomac knows that the arc price elasticity of demand for its ovens is −3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?
- Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.Worldwide annual sales on smartphones over a two year period were approximately q=-4p+3,020 million phones at a selling price of $p per phone. (a)obtain a formula for the price elasticity of demanding e. E=_____ (b) in one of the years the actual selling price was $305 per phone. What was the corresponding price elasticity of demand? E=_____ What would’ve been the resulting annual Revenue? $_____billionThe Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomac's closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $545. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. a) What is the arc cross elasticity of demand between Potomac's oven and the competitive Spring City model? b) If Potomac knows that the arc price elasticity of demand for its ovens is −2.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?
- In one month, a Pizza Hut restaurant sold 5500 personal pizza at RO 4.50 per pizza. When this restaurant increased its price by 30%, its total revenue for the next month increased to RO 18,720. As a result of this price increase, however, the monthly sales of POP decreased from 3500 to 3000 cans. Using the arc elasticity method: (i) Find the own price elasticity of demand for this restaurant’s pizza. (ii) Find the cross elasticity of demand for pop with respect to the price of the pizzas. Are the two substitutes or compliments?Suppose the supply and demand curves for a particular product are given by: QS = -20 + 2P QD =100 - 2P where QS and QD are quantities in units and P is the price per unit. (b) Calculate both the demand and supply elasticity around the equilibrium point. [Hint: you can use either the point method or the average arc (midpoint) method.] [5]Mr. Haris has the following demand equation for a certain product: Q = 30 - 2P. At a price of $7, what is the point elasticity? Between prices of $5 and $6, what is the arc elasticity? If the market is made up of 100 individuals with demand curves identical to Mr. Smith’s, what will be the point and arc elasticity for the conditions specified in parts a and b?
- These questions require application of economic theory relating to elasticity of demand andsupply. All calculations must be shown in full. Answer ALL the questions.Q.3.1 A store that sells maize meal discovers that when the price of 1kg maize meal IsR24 per kilogram, the quantity demanded is 306 kgs per week. When the pricedecreases to R21 per kg, then the sales increase to 340 kgs per week. Use thisinformation to answer questions Q.3.1.1 and Q.3.1.2 below.Q.3.1.1 Determine the price elasticity of maize meal using the Arc method. (5)Q.3.1.2 Discuss the relationship between the price elasticity of maize mealand the total revenue the store received from the sales. Advise thestore on an appropriate pricing strategy.(7)Q.3.2 The store selling maize meal makes a further discovery, when the price of ricechanges from R30 per kg to R26 per kg, then the quantity of rice demandeddecreases from 1360 kg per month to 1238 kg per month. Use this informationto answer Q.3.2.1 and Q.3.2.2 below.Q.3.2.1…An economic consultant for Gumbcorp. recently provided the firm’s marketing manager with this estimate of the demand function for the firm’s product: Qxd=12,000 -3Px + 4Py - 1M + 2Ax where Qxd represents the amount consumed of good X, Px is the price of good X, is the price of good Y, M is income, and Ax represents the amount of advertising spent on good X. Suppose good X sells for $200 per unit, good Y sells for $15 per unit, the company utilizes 2,000 units of advertising, and consumer income is $10,000. How much of good X do consumers purchase? Are goods X and Y substitutes or complements? Is good X a normal or an inferior good1. Estimated Demand. You are the manager of a firm that sells packs of coffee pods for coffee makers. You typically sell the packs for $24 and sell an average of 2,470 packs per month. You decide to raise the price to $28 per pack. When you do this your monthly sales fall to 1,482 packs per month. a. Assuming that your firm’s demand function is linear (i.e., takes the form QP=a-bP), calculate the linear demand function for the packs 2. Markups and elasticities. The marginal cost (MC) of producing your product is $16 a. Using the estimated demand curve from the previous question, calculate the point price elasticities of demand at the two price from question 1 b. Use the markups and elasticities and indicate whether the two prices are higher or lower than the profit maximizing price. NOTE: YOU DO NOT NEED TO CALCULATE THE PROFIT MAXIMIZING PRICE YET.
