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Many manufacturing problems involve the accurate matching of machine parts, such as shafts, that fit into a valve hole. A particular design requires a shaft with a diameter of 22.000 mm, but shafts with diameters between21.900 mm and 22.010 mm are acceptable. Suppose that the manufacturing process yields shafts that are normally distributed with a mean of 22.002 mm and a standard deviation of 0.005 mm. For this process, what is:
(a) the proportion of shafts with a diameter between 21.900 mm and 22.000 mm?
(b) the probability that a shaft is acceptable?
(c) the diameter that will be exceeded by only 2% of the shafts?
An industry demand curve faced by firms in a duopoly is P = 100 - Q, where Q = Q1 + Q2. MC for each firm is 0. How many units should each firm produce? How much money will each firm make?
Assume that a consumer has the utility function U(x,y) = 3x+y, where x and y represent the quantities of two goods, X and Y. The consumer has I=$60 to spend on the two goods, and good Y costs py=$2 per unit. The price of good x, px, is also exogenous..
Illustrate what is the impact of this sale on GDP for 2002. Assume no realtor is involved in the sale.
Twenty-eight percent of all liquid crystal displays (LCDs) are manufactured by Samsung. What is the probability that in a collection of three independent LCD purchases, at least one is a Samsung?
The state has announced its plans to license two firms to serve a market whose demand curve is given by ? = 100 ? The technology is such that each can produce any given level of output at zero cost, but once each firm's output is chosen, it cannot be..
The following graph shows an increase in aggregate demand (AD) in a hypothetical country. Specifically, aggregate demand shifts to the right from AD1 to AD2, causing the quantity of output demanded to rise at all price levels. Complete the table by i..
Regression Anaylysis: LOS as a function of the number of medications upon admission:
If the seller cannot discriminate, but must charge the same price p1 = p2 = p to each group, what will be her profit-maximizing price? Which, if any, consumer group benefits from price discrimination?
What sales must Freeman Auto achieve to meet their operating profit goal?
What are the key similarities and differences between Russia and China?
You should draw a graph that depicts the situation below and use your picture to answer the questions. Assume that wages and prices are sticky and that we start at a long-run equilibrium. What is the inflation rate at the initial long-run equilibrium..
A firm and its supplier are going to negotiate a deal every quarter. Since the supplier's cost is $10 million per quarter and the value to the firm is $14.
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