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- The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?The 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, Potomacs 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. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? 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?(Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?
- If a decrease in the price of movie tickets increases the total revenue of movie theaters, this is evidence that demand is a. price elastic. b. price inelastic. c. unit elastic with respect to price. d. perfectly inelastic.A movie production company faces a linear demand curve for its film, and it seeks to maximize total revenue from the films distribution. At what level should the price be set? Where is demand elastic, inelastic, or unit elastic? Explain.Johnson's Household Products has a division that produces two types of toothpaste: a regular toothpaste and a whitening tooth paste. The demand equations that relate the prices, p and q (in dollars per thousand units), to the quantities demanded weekly, x and y (in units of a thousand), of the regular toothpaste and the whitening toothpaste are given by p=3000-20 x-10 yp=3000−20x−10y and q=4000-10 x-30 yq=4000−10x−30y respectively. The fixed cost attributed to the division is $20,000/week, and the cost for producing 1000 tubes of regular and 1000 tubes of whitening toothpaste is$400 and $500, respectively. a. What is the weekly total revenue function R(x, y)? b. What is the weekly total cost function C(x, y)? c. What is the weekly profit function P(x, y)? d. How many tubes of regular and whitening toothpaste should be produced weekly to maximize the division's profit? What is the maximum weekly profit?
- A chain of electronic stores sells hand-held color televisions. The weekly demand and supply models are given below. N is the number of televisions sold or supplied per week in the respective model and p is the price of the television. a. How many hand-held televisions can be sold and supplied at $144 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week? N = −7p+1134 Demand model. N = 3.5p Supply model.What price should you set for a product? This week we’re learning a useful numerical rule. You’re brought in to consult for a business that currently has a Marginal Cost of $5 for its product. It sells its product to customers for $9 per unit and the estimated price elasticity of demand is -1.5. Is the current price optimal? Should it be raised or lowered? To what? Support your answer using the markup pricing equations from the text. (MR = P*(1+(1/elasticity)) combined with the MR=MC rule).Suppose that the management of Sun City resort is trying to understand the income elasticity of their resort. As an advisor, they provide you with the following figures;If the average income of visitors is R3 000 (which is the current income), then 45 000 visitors visit Sun City resort each year and if the average income increases to R5 000, then 60 000 visitors visit Sun City resort each year. 1. Calculate the income elasticity of demand using the arc method. (5) 2. Based on your answer above (1), explain what type of a product (service) the resort is.
- Ll.47. Market demand is given as Qd = 750 – 2P. Market supply is given as Qs = 3P - 15. What is the point elasticity of demand at the equilibrium price, and if the firm could change its price, would the firm increase or decrease the price in order to increase total revenue? a. 5.80, the firm will decrease the price b. 0.69, the firm will decrease the price c. 0.69, the firm will increase the price d. 5.80, theCalculate the price elasticity of demand for mobiletelephones where the quantity sold decreases from 225 to180 when the price rises from BD50 to BD57.5 3) With the help of a diagram, analyse the impact of entry ofnew suppliers into an industry on the demand and supplycurves. Make sure that your diagram is labelled clearly.The table below shows two demand schedules for a given style of men’s shoes—that is, how many pairs per month will be demanded at various prices at a men’s clothing store in Winnipeg called Stromnord. Price D1QuantityDemanded D2QuantityDemanded $85 53 13 80 60 15 75 68 18 70 77 22 65 87 27 Suppose that Stromnord has exactly 55 pairs of this style of shoe in inventory at the start of the month of July and will not receive any more pairs of this style until at least August 1. a. If demand is D1, what is the lowest price that Stromnord can charge so that it will not run out of this model of shoe in the month of July? What if demand is D2? If demand is D1, the lowest price Stromnord can charge is $ .If demand is D2, the lowest price Stromnord can charge is $ . b. If the price of shoes is set at $85 for both July and August and demand will be D2 in July and D1 in August, how many pairs of shoes should Stromnord order for August if it wants to end the month of August…