A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) a + bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. (ii) Show that the number of drivers that join the road is V - a Ne =
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- Suppose that a study of changes in admission prices reveals that when the price of admissionto the museum increases by 10%, adults reduce their ticket purchases by 10%, senior citizensreduce their ticket purchases by 20%, college students reduce their ticket purchases by 25%,and children reduce their ticket purchases by 30%. If the cost of having a person visit themuseum is the same regardless of whether the person is an adult, senior citizen, collegestudent, or child, which of the following pricing schemes is the most likely to be used by themuseum and why? Group of answer choices The museum will set one price of $12 for everyone because that is the most fair. $8 for children, $10 for college students, $12 for senior citizens, and $15 for adultsbecause the museum can earn higher profits by charging the lowest price to those with theleast elastic demand and the highest price to those with the most elastic demand. $15 for children, $12 for college students, $10 for senior citizens,…A rational decision-maker takes an action only if the Select one: a. average benefit is greater than the average cost O b. marginal benefit is greater than both the average cost and the marginal cost Oc marginal benefit isgreater thanthe.marginal cost O d. marginal benefit is less than the marginal cost age ter4 ELAST CTYAND ITS APPLICATION TAutosaved.Simulation usually does not generates optimal solutions. O True O False
- experts are using chat gpt. I will dislike your answe If it's AI generated.It is the morning commute in Congestington, DC. Of 100 drivers, eachdriver is deciding whether to take the toll road or take the back roads. Thetoll for the toll road is $10, while the back roads are free. In deciding ona route, each driver cares only about income, denoted y, and his traveltime, denoted t. If a driver’s final income is y and his travel time is t, thenhis payoff is assumed to be y - t (where we have made the dollar value ofone unit of travel time equal to 1). A driver’s income at the start of the dayis $1,000. If m drivers are on the toll road, the travel time for a driver onthe toll road is assumed to be m (in dollars). In contrast, if m drivers takethe back roads, the travel time for those on the back roads is 2m (again,in dollars). Drivers make simultaneous decisions as to whether to take thetoll road or the back roads.a. Derive each player’s payoff function (i.e., the expression that gives usa player’s payoff as a function of her strategy profile.)b. Find a Nash…Ans all.. otherwise don't give
- Dataware is trying to determine whether to give a $10 rebate, cut the price $6, or have no price change on a software product. Currently, 40,000 units of the product are sold each week for $45 apiece. The variable cost ofthe product is $5. The most likely case appears to bethat a $10 rebate will increase sales 30%, and half of all people will claim the rebate. For the price cut, the most likely case is that sales will increase 20%.a. Given all other assumptions, what increase in sales from the rebate would make the rebate and price cut equally desirable?b. Dataware does not really know the increase in sales that will result from a rebate or price cut. However, the company is sure that the rebate will increase sales by between 15% and 40% and that the pricecut will increase sales by between 10% and 30%.Perform a sensitivity analysis that could be used to help determine Dataware’s best decision.34. Which one would have the greatest effectWhat is the solution ot this one?
- Suppose you run a marketing survey and find you have two types of customers high-value customers willing to pay 16 and low-va consumers willing to pay just 10. Your survey tells you that there are equal numbers of high- and low- value customers. Obviously , have two possible options price high (16) and sell only to the high value group, or price low (10) and sell to everyoneThe costs incurred is 5 per unit and sales only happen to high -value consumers 50 % of the timeWhich price should you choose ? Select the correct response price high price low it depends price both high and lowEach time a song is played on the radio, the record company and the songwriter are paid a royalty of $0.30.Of the total, 75% goes to the company and the rest to the writer. If on a network of 50 radio stations, a certainsong is played 4 times a day during the first week and then 20 times a day for the next three weeks, how muchdoes the network owe in royalties for the four weeks? How much do the record company and the songwriterreceive eachA particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a + bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others