In 1995 the Solar Electric Company showed a profit of $3.45 per share, and it expects this figure to increase annually by $0.25 per share. If the year 1995 corresponds to x=0, and successive year correspond to x = 1, 2, 3, and so on, find the equation y = mx + b of the line to allows the company to predict its profit y dollars per share in future years. Sketch the graph this equation and find the predicted profit per share in 2001.

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

Nellie lumpkin, who suffered from dementia, was admitted to the picayune convalescent center, a nursing home. because of her mental condition, her daughter, beverly mcdaniel, signed the admissions agreement. it included a clause requiring the par- ties to submit any dispute to arbitration. after lumpkin left the center two years later, she filed a suit against picayune to recover damages for mistreatment and malpractice. [covenant health & rehabilitation of picayune, lp v. lumpkin, 23 so.2d 1092 (miss. app. 2009)] (see page 91.) 1. is it ethical for this dispute—involving negligent medical care, not a breach of a commercial contract—to be forced into arbitration? why or why not? discuss whether medical facilities should be able to impose arbitration when there is generally no bargaining over such terms.

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.