Suppose that three consumers are in the market for good X. Consumer 1's (inverse) demand is P X = 40 − Q X; Consumer 2's (inverse) demand is P X = 50 − 2Q X; and Consumer 3's (inverse) demand is P X = 70 − 4Q X. When P X = $20, the market will demand:
a. 47.5 units. b. 41 units. c. 19.5 units. d. None of the statements is correct.

2. the language of price controls consider the market for rental cars. suppose that, in a competitive market without government regulations, the equilibrium price of rental cars is $58 per day, and employees at car rental companies earn $19.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect there are many teenagers who would like to work at car rental companies, but the minimum-wage law sets the hourly wage at $23.00. the government has instituted a legal minimum price of $87 per day for rental cars. the government prohibits car rental companies from renting out rental cars for more than $87 per day.

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

Read the following paragraph, and choose the best revision for one of its sentences. dr. blake is retiring at the end of the month. there will be an unoccupied office upon his departure, and it is big in size. because every other office is occupied, we should convert dr. blake’s office into a lounge. it is absolutely essential that this issue is discussed at the next staff meeting. (a) because every other office is occupied, it’s recommended that we should convert dr. blake’s office into a lounge. (b) because every other office is filled, we should convert dr. blake’s office into a lounge.