Suppose 2 Bros. Pizza opens a shop close to the existing two shops and sells the same pizza. It can supply 400 slices of pizza each day, and its production cost is also 80 cents. Customers still prefer to buy from the cheaper shop, and if more than one shop charges the same lowest price, they split the market equally. Required:
Find a Nash equilibrium of the price competition among the three shops.

Abarbecue sauce producer sells their product in a 20-ounce bottle. their historical process mean has been 20 ounces with a standard deviation of 0.25 ounces. if their tolerance limits are set at 20 ounces plus or minus 1 ounce, what is the process capability ratio of the bottle filling process? (5 points)

An employer who is considering hiring eva has asked donna, eva’s former supervisor, for a report on eva. in truth, eva’s work for donna has been only average. however, eva is donna’s friend, and donna knows that eva probably will not get the job if she says anything negative about eva, and donna knows that eva desperately needs the job. further, donna knows that if the situation were reversed, she would not want eva to mention her deficiencies. nevertheless, it has been donna’s policy to reveal the deficiencies of employees when she has been asked for references by employers, and she knows that some of eva’s faults may be bothersome to this particular employer. finally, this employer has leveled with donna in the past when donna has asked for a report on people who have worked for him. should donna reveal deficiencies in eva’s past performance? (remember to use one of the three moral theories acceptable for this test to solve this dilemma. any discussion of any personal opinion, religious perspective, or theory other than the moral theories acceptable for this test will result in a score of "0" for this question.)

Rachel died in 2014 and her executor is finalizing her estate tax return. the executor has determined that rachel’s adjusted gross estate is $10,120,000 and that her estate is entitled to a charitable deduction in the amount of $500,000. using 2014 rates, calculate the estate tax liability for rachel’s estate.