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Assume that ABC Company has fixed production costs of $70 per unit, and marginal cost of production is $0.4 per unit. ABC sells for $0.5 per unit. a) Write down the associated cost, revenue, and profit functions. b) What profit (or loss) results from the sale of 500 units of products? c) How many units of output should be produced and sold in order to break even?


For each day, independent of the others, the length of time for one individual to be served at

a cafeteria is a random variable having an exponential distribution with a mean of 4 minutes. What is the

probability that a person is served in less than 3 minutes on at least 4 of the next 6 days?


The demand for a product, in dollars, is P=2000-0.2x-0.01x^2. Find the consumer surplus when the sales level is 250

There are fifteen students writing a Statistics exam. What is the probability of correctly





predicting the three students who obtain the highest marks in the exam, in the correct





order, assuming that no student obtains the same mark as any other student?

determine the kinetic energy of a 125kg roller coaster that is moving with a speed of 20.0 m/s

) Give an example to show that if the convergence of 􏰄 an is conditional and (bn) is a bounded

sequence, then 􏰄 anbn may diverge.


E xplain the general m otion of a Sim ple P endulum .




A Pumpkin gets launched into the air from a cliff above a pond. The following equation represents the height of the pumpkin from the pond, h(t)=−16t2+56t+32where t is time in seconds.  What is the maximum height the pumpkin reaches?

Suppose a population consists of the number 97,89,98,93,95,97,97,90,60,94 construct a sampling distribution of all possible samples of size 3 from the population.


A chemist prepares a sample of hydrogen bromide and finds that it occupies 216 ml at 64 c and 535 torr. what volume would it occupy at0 c at the same pressure? answer in units of ml


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