Problem 6: A drainage channel has a capacity sufficient to carry 800 cubic feet per second following data regarding the of enlarging the channel: nel has a capacity sufficient to carry 800 cubic feet per second. Engineering studies produce the probability that a given water flow in any one year will be exceeded, and the cost Drainage capacity (Cubic feet per second) 800 1,200 1.300 1,900 Probability of overflowInvestment capital to enlarge the channel 0.30 0.20 0.10 0.05 - $25,000 $75.000 $90,000 Records indicate that the annual average property damage amounts to $30,000 when serious overflow occurs. It is believed that this would be the average damage whenever the storm flow is greater than the capacity of the channel Reconstruction of the channel would be financed by 20-year bonds bearing 10% annual interest compounded (and paid) annually. Determine the most economical size of the channel