For a bus with a capacity of 30 seats, the full fare is $450 and the discounted fare is $150. On average, the bus expects 20 full-fare customers, but this number could be as low as 10 or as high as 30. What is the optimal discount-fare booking limit in this scenario? A) 1
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- When the price of candy bars increased from $0.45 to $0.55, the quantity demanded changed from 21,000 per day to 19,000 per day. In this price range, the price elasticity of demand coefficient (based on the midpoint formula) for candy bars is A) -1. B) -0.18. (C) -2. D -0.5.(a) Show that the function Q = a/P* , where a and c are constants, has a constant elasticity of demand: ɛg = -c. (b) (i) Determine the elasticity of demand for train journeys on a given route when the demand function is Q = 1200/P|.2, where Q is the number of fares in thousands. (ii) If the fare increases by 5%, use elasticity to calculate the percentage change in demand. (iii) If the fare decreases by 5%, use elasticity to calculate the percentage change in demand.The price p and the quantity x sold of a certain product obey the demand equation below. x= -8p +176, 0sps22 (a) Express the revenue R as a function of x. (b) What is the revenue if 144 units are sold? (c) What quantity x maximizes revenue? What is the maximum revenue? (d) What price should the company charge to maximize revenue? (e) What price should the company charge to earn at least $576 in revenue? (a) R(x) =
- Mead Plumbing currently sells thread seal tape at a price of $42.00 per roll. Their research department has derived the price-demand equation as p = 60 -0.02x where x is the number of tapes that can be sold at $p per roll of tape. (d) If the current price changes by 10%, what will be the approximate percentage change in demand? (e) Find the price at which a percentage change in price produces the same percentage change in demand.The demand curve for CO2 systems can be considered as a kinked demand curve. One analysis company has helped and they find that the kink occurs at around 15 plants sold at a price of DKK 4.4 million. DKK per plant. At a price increase based on the kink, the analysis company estimates the price elasticity to -2. Furthermore, the analysis company has found that at a price of DKK 0, it the requested quantity is 40 plants. Derive and draw the kinked demand function and the associated MR function based on the given data. If necessary, make other necessary assumptions yourself.The following graph input tool shows the daily demand for hotel rooms at the Peacock Hotel and Casino in Las Vegas, Nevada. To help the hotel management better understand the market, an economist identified three primary factors that affect the demand for rooms each night. These demand factors, along with the values corresponding to the initial demand curve, are shown in the following table and alongside the graph input tool. Demand Factor Average American household income Initial Value $50,000 per year $200 per roundtrip Roundtrip airfare from San Francisco (SFO) to Las Vegas (LAS) Room rate at the Grandiose Hotel and Casino, which is near the Peacock $250 per night Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Peacock's Hotel Rooms 500 450…
- Suppose the demand for a product is given by D(p) : - 4p + 232. A) Calculate the elasticity of demand at a price of $16. (Give your answer to three decimal places.) Elasticity = B) At what price do you have unit elasticity? (Round your answer to the nearest penny.) Price = $In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand function p + 69 - 300 at (9, p) = (25, 150). (b) How will a price increase affect total revenue? O Since the demand is elastic, an increase in price will decrease the total revenue. Since the demand is inelastic, an increase in price will decrease the total revenue. O Since the demand is elastic, an increase in price will increase the total revenue. Since the demand is unitary, there will be no change in the revenue with a price increase. Since the demand is inelastic, an increase in price will increase the total revenue. Need Help? Read It Watch Itect of the utility commission's ruling on the profitability of the firm? 15 A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 280,000 – 400p where q equals the number of units demanded and p equals the price in dollars. The total cost of producing q units of the product is estimated by the function C = 350,000 + 300q + 0.0015q? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal? 16 Solve the previous exercise, using the
- The Vista TV Cable Co. currently has 100,000 subscribers who are each paying a monthly rate of $40. A survey reveals that there will be 1000 more subscribers for each $0.25 decrease in the rate. At what rate will maximum revenue be obtained, and how many subscribers will there be at this rate?Suppose the demand equation is 200x + 10p = 10000, where x is the num- ber of items sold when the per unit price is p dollars. Determine (a) the rev- enue function,(b) the domain of the revenue function,(c) the revenue derived from the sale of the 20th item the marginal revenu(de)wthen x = 20,level of production that maximizes the revenue,and the maximum revenue.The GetUFit Company manufactures elliptical machines. The variable cost per unit to produce a model designed for in-home use is $500. The firm sold 1,311 of these machines at a price of $1,959. When the price was decreased to $1,613, sales increased to 2,256 units. Assuming all else equal and a linear demand function, calculate the profit maximizing price that GetUFit should charge for the machine. Currency (US) FREE