Question: Answer the following regarding single dimensional value functions. a. Speed: ranges from 90 mph to 190 mph (higher is preferred), exponential with midvalue 120 mph.

Answer the following regarding single dimensional value functions.

a. Speed: ranges from 90 mph to 190 mph (higher is preferred), exponential with midvalue 120 mph. Find ρ.

b. Range of variation for weight is from 175 lbs to 400 lbs. and lower is better. Assume a linear single dimensional value function and compute the value of 300 lbs.

c. Time to mission accomplishment: Value function is exponential over range 4 days to 20 days. ρ = 1. What is the value for 10 days?

d. Percent passing rate for exam: Value function is piecewise linear over 30%, 50%, 70%, and 100%. 30 to 50% represents the least increase in value, and an increase of 70 to 100% has three times that increase. An increase from 50% to 70% is twice that of the increase from 30% to 50%. Note that no one will score less than 30%. What is the value of 90%?

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