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The Adventure Pty Ltd, an equipment and clothing manufacturer, decided to begin production of two new unisex parkas designed for use in extremely cold weather conditions. The names selected for two models are Mount Everest Parka and Denali Parka. Their manufacturing plant has 140 hours of cutting time and 100 hours of sewing time available for producing these two parkas in large size. Each Mount Everest Parka in large size requires 45 minutes of cutting time and 60 minutes of sewing time. Each Denali parka in large size requires 35 minutes of cutting time and 30 minutes of sewing time. The labour and material cost is $180 for each Mount Everest parka and $90 for Denali parka. The retail prices through the company's online store are $450 for Mount Everest parka and $300 for Denali parka. The company's management has specified that at least 25% of the total production of new parkas must consist of Mount Everest parka. Assume that the Adventure Pty Ltd can sell as many large size coats as they can produce.
Formulate the linear programming problem to maximise the profit made by the company.
The LP formulation must include the definition of decision variables and the linear program consisting of the objective function and constraints.
a) Make a list of questions one might like to ask about this situation and for which the data collected provide some information.
A company has discovered that a recent batch of batteries had manufacturing flaws, and has issued a recall. You have 10 batteries covered by the recall, and 3 are dead. You choose 2 batteries at random from your package of 10.
Chi square compares actual data with expected data. What would the expected data be? For example, if I know the percentage of brown M&Ms in a bag is 40% set by the company
Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 are chemistry majors, and 7 are neither. What is the probability that the student is both a sophomore and a chemistry major?
a. Draw a network flow model to represent this problem. Make sure that you note all the numerical information about each node and each arc appropriately on the graph using network modeling convention (if you prefer, you can take a picture of you..
Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following:
one environmental group did a study of recycling habits in a california community. it found that 73 of the aluminum
The stationary Gaussian process Xn with expected value E[Xn] = 0 and autocorrelation function RX (k) = 2-|k| is passed through the linear filter given by the filter vector h = [1 -1 1]'. Find the PDF of X = [X3 X4X5]'.
The probability will be .90 that the sample mean will not differ from the true mean by more than 20 percent of the std. deviation. How large a sample should he take?
The other three cities served as controls. Outline the design of this study in schematic form.
What does the organization do to engage workers? If the CEO came to you and asked you to develop a plan to engage workers, what would you suggest?
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.
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