Midterm Exam Mon 14 Oct 2002

  1. Suppose the quality loss function of a manufactoring process is L(X) = 20(X - 12)^2.
    What is the expected loss if the production methods yield a mean of 11 and a standard deviation of 2?
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  2. Find the z-transform of the signal 1,2,1,2,1,2,...
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  3. What is the most important property of a linear, causal, and time-invariant filter?
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  4. Solve the following problem:
                minimize  x1 + 2 x2 
                subject to
                  { 6 x1 +   x_2 ≥ 6 
                  {   x1 +   x_2 ≥ 3 
                  { 2 x1 + 5 x_2 ≥ 10
    
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  5. Compute the present value of $1,000 five years from now, using a discount rate of 5%.
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  6. Formulate the relation between elasticity of demand and the revenue of the producer.
    Why is this relation so important?
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  7. Write one paragraph on what you learned from an unrelated project of another team.
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