# 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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