Aquality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. accordingly, he sampled four units of output from each machine, with the following results:

machine measurements

#1 17 15 15 17

#2 16 25 18 25

#3 23 24 23 22

for upper and lower control limits of 23.29 and 16.71, which machine(s), if any, appear(s) to have an out-of-control process mean?

a.
machine #1

b.
machine #2

c.
machine #3

d.
all of the machines

e.
none of the machines

Intronix uses copy editors, computer graphics specialists, and java programmers to produce ads for magazines and the internet. the average new ad for magazines typically requires 180 hours of a copy editor's time and 135 hours of a computer graphics specialist's time, whereas ads produced for the internet require 35 hours of copy editor time, 195 hours of computer graphics time, and 60 hours of a java programmer's time. lassie food, a dog food manufacturer, has hired intronix to produce ads in the next four week. although currently it considers magazine ads 3 times more valuable than internet ads, it still wishes to have at least 2 of each produced within the next four weeks. intronix has assigned up to 3 copy editors, 4 computer graphics specialists, and 1 java programmer, each committed to work up to 70 hours per week on the project. how many of each type of ad should be produced to maximize the overall value to lassie foods

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?

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.