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1) An Operations Manager would like to understand how linear programming (LP) can be used to attain optimum solutions when allocating scarce organizational resources. He/She has the following questions:
a) What is LP? How is an LP problem defined.
b) Define objective function, constraint, and decision variable.
c) Our firm makes two products: Y and Z. Suppose that each unity of Y costs $10 and sells for $40. Each unit of Z costs $5 and sells for $25. If the firm's goal were to maximize profit, what is the approproiate objective function?
d) An LP problem must be "solved." One solution method is the corner point solution. How is this method applied? What gets solved in an LP problem? Are other solution methodologies available.
Perform an initial exploratory data anlysis using plots and the usual descriptive statistical methods. This should include individual plots of FFD against the three continuous variables, with the data grouped by the two categorical variables.
Problem: For each of the circuits shown below, find the output voltage. Draw the waveform and show all voltage values. All diodes are silicon with a voltage drop of 0.7 volts unless otherwise stated.
Estimate (1) by the usual OLS routine and obtain the residuals, uˆt . Incidentally, note that you can have more than one X variable in the model.
How could you verify this? Create a null and alternate hypothesis for one of these issues.
Would you recommend using a z-test, a t-test, or an ANOVA for the analysis? Explain your answer. What would your choice of test depend on? For the test you select, explain your design and your comparison groups.
As a quality analyst you are also responsible for controlling the weight of a box of cereal. The Operations Manager asks you to identify the ways in which statistical quality control methods can be applied to the weights of the boxes.
At the 1% level of significance, can it be concluded that there is a relationship between an employees age and an employees opinion about the new wage incentive plan? Formulate and test the appropriate hypothesis. Use the critical value approach.
1. prove directly from the axioms for a vector space thatnbsp for any scalar a.remark. of course this fact is not hard
A. What is the probability that an employee will have a cold next year? b. Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year?
1. Why can't the PM use the organization's current information system for project monitoring and reporting? 2. What does it mean to say that project monitoring and control are on the opposite sides of project selection and planning?
You have been recently employed as the director of operations of a hotel. The hotel is in a relatively large city with many other comparable hotels in its vicinity. As part of your job, your responsibilities include:
Find the exact solution to the initial value problem and estimate the errors in the predicted value of ya(1) and yb (1) and suggest a value of step size for each method that would provide a value of y(1) accurate to 0.5%.
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