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A manufacturing company has two factories F1 and F2 producing a certain commodity that is required at three retail outlets M1, M2 and M3. Once produced, the commodity is stored at one of the ve company warehouses, W1;W2;W3;W4;W5 from where it is distributed to thevarious retail outlets. It is not feasible to move the commodity from a warehouse to a factory, nor is it feasible to move the commodity from a retail outlet to a warehouse. The tables below give the maximum weekly amount of the commodity that can be moved from factory Fi to warehouse Wj and from warehouse Wj to retail outlet Mk. Maximum weekly movement of the commodity between warehouses is indicated in the network shown below. Each factory F1 and F2 has a weekly production capacity of 60 units. Using an appropriate network, determine the maximum amount of the commodity that can be supplied to the markets.
(a) A plane timetable states that a particular plane is due at 2pm but the actual arrival time isuniformly distributed between 1pm and 3pm. (i) Calculate the probability that th
The phrase first spoken by one of the witches in Macbeth. Now this is used to describe the exponential rise in the number of possible locations in the multivariate space as dimensi
A directed graph is simple if each ordered pair of vertices is the head and tail of at most one edge; one loop may be present at each vertex. For each n ≥ 1, prove or disprove the
Post stratification adjustmen t: One of the most often used population weighting adjustments used in the complex surveys, in which weights for the elements in a class are multiplie
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Dr. Stallter has been teaching basic statistics for many years. She knows that 80% of the students will complete the assigned problems. She has also determined that among those who
The division of a sample of observations into several classes, together with the number of observations in each of them. It acts as a useful summary of the main features of the da
Mann Whitney test is a distribution free test which is used as an alternative to the Student's t-test for assessing that whether the two populations have the same median. The test
Population averaged models are the models for kind of clustered data in which the marginal expectation of response variable is the main focus of interest. An alternative approach
The functions of the data and the parameters of interest which can be brought in use to conduct inference about the parameters when full distribution of the observations is unknown
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