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2.2 Problems Not Sorted

12a. Find y(t).

12b. Find x(t).

12c. An existing manual production line costs $100,000 to operate per year. A new piece of automated equipment is being considered to replace the manual production line. The new equipment costs $150,000 and requires $30,000 to operate. The decision to purchase the new machine will be based on a 3 year period with a 25% interest rate. Compare the present value of the two options.

14. For the system pictured below put the equations in state variable form and simulate the system using numerical integration. Assume values to test your program.

15. Find the steady state outputs for the system using the given input functions.